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