In Exercises 1–14, simplify the expression or solve the equation, whichever is appropriate.4x-2(1-x)=3(2x+1)-5

The Distributive Property states that a(b + c) = ab + ac. This property allows us to multiply a single term by each term inside a set of parentheses. In the given equation, applying the distributive property is essential for simplifying expressions like -2(1 - x) and 3(2x + 1).

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This step is crucial in simplifying algebraic expressions, as it helps to consolidate the equation into a more manageable form. In the equation provided, after distributing, you will need to combine terms involving 'x' and constant terms.

Solving linear equations involves finding the value of the variable that makes the equation true. This typically includes isolating the variable on one side of the equation through operations such as addition, subtraction, multiplication, or division. In the context of the given problem, after simplification, you will need to isolate 'x' to find its value.