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