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Simplifying 5(x + -1) = 5(2x + -3) Reorder the terms: 5(-1 + x) = 5(2x + -3) (-1 * 5 + x * 5) = 5(2x + -3) (-5 + 5x) = 5(2x + -3) Reorder the terms: -5 + 5x = 5(-3 + 2x) -5 + 5x = (-3 * 5 + 2x * 5) -5 + 5x = (-15 + 10x) Solving -5 + 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. -5 + 5x + -10x = -15 + 10x + -10x Combine like terms: 5x + -10x = -5x -5 + -5x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -5x = -15 + 0 -5 + -5x = -15 Add '5' to each side of the equation. -5 + 5 + -5x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -15 + 5 -5x = -15 + 5 Combine like terms: -15 + 5 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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