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Simplifying 5(3 + -2x) = 5 + -1(2 + -2x) (3 * 5 + -2x * 5) = 5 + -1(2 + -2x) (15 + -10x) = 5 + -1(2 + -2x) 15 + -10x = 5 + (2 * -1 + -2x * -1) 15 + -10x = 5 + (-2 + 2x) Combine like terms: 5 + -2 = 3 15 + -10x = 3 + 2x Solving 15 + -10x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -10x + -2x = 3 + 2x + -2x Combine like terms: -10x + -2x = -12x 15 + -12x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -12x = 3 + 0 15 + -12x = 3 Add '-15' to each side of the equation. 15 + -15 + -12x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = 3 + -15 -12x = 3 + -15 Combine like terms: 3 + -15 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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