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Simplifying -5(x + -2) = 3(x + -2) Reorder the terms: -5(-2 + x) = 3(x + -2) (-2 * -5 + x * -5) = 3(x + -2) (10 + -5x) = 3(x + -2) Reorder the terms: 10 + -5x = 3(-2 + x) 10 + -5x = (-2 * 3 + x * 3) 10 + -5x = (-6 + 3x) Solving 10 + -5x = -6 + 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 + -5x + -3x = -6 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -8x = -6 + 0 10 + -8x = -6 Add '-10' to each side of the equation. 10 + -10 + -8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -6 + -10 -8x = -6 + -10 Combine like terms: -6 + -10 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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