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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 = -8x 6 + -8x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -8x = 30 + 0 6 + -8x = 30 Add '-6' to each side of the equation. 6 + -6 + -8x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 30 + -6 -8x = 30 + -6 Combine like terms: 30 + -6 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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