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Simplifying -3(x + -2) = 6(x + 4) Reorder the terms: -3(-2 + x) = 6(x + 4) (-2 * -3 + x * -3) = 6(x + 4) (6 + -3x) = 6(x + 4) Reorder the terms: 6 + -3x = 6(4 + x) 6 + -3x = (4 * 6 + x * 6) 6 + -3x = (24 + 6x) Solving 6 + -3x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -3x + -6x = 24 + 6x + -6x Combine like terms: -3x + -6x = -9x 6 + -9x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -9x = 24 + 0 6 + -9x = 24 Add '-6' to each side of the equation. 6 + -6 + -9x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 24 + -6 -9x = 24 + -6 Combine like terms: 24 + -6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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