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Simplifying -3(x + -2) = -5(x + -6) Reorder the terms: -3(-2 + x) = -5(x + -6) (-2 * -3 + x * -3) = -5(x + -6) (6 + -3x) = -5(x + -6) Reorder the terms: 6 + -3x = -5(-6 + x) 6 + -3x = (-6 * -5 + x * -5) 6 + -3x = (30 + -5x) Solving 6 + -3x = 30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -3x + 5x = 30 + -5x + 5x Combine like terms: -3x + 5x = 2x 6 + 2x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 2x = 30 + 0 6 + 2x = 30 Add '-6' to each side of the equation. 6 + -6 + 2x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 30 + -6 2x = 30 + -6 Combine like terms: 30 + -6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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