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Simplifying 5(x + -2) = 5(2x + 3) Reorder the terms: 5(-2 + x) = 5(2x + 3) (-2 * 5 + x * 5) = 5(2x + 3) (-10 + 5x) = 5(2x + 3) Reorder the terms: -10 + 5x = 5(3 + 2x) -10 + 5x = (3 * 5 + 2x * 5) -10 + 5x = (15 + 10x) Solving -10 + 5x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 5x + -10x = 15 + 10x + -10x Combine like terms: 5x + -10x = -5x -10 + -5x = 15 + 10x + -10x Combine like terms: 10x + -10x = 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 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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