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Simplifying -6(x + 4) = 3(x + -2) Reorder the terms: -6(4 + x) = 3(x + -2) (4 * -6 + x * -6) = 3(x + -2) (-24 + -6x) = 3(x + -2) Reorder the terms: -24 + -6x = 3(-2 + x) -24 + -6x = (-2 * 3 + x * 3) -24 + -6x = (-6 + 3x) Solving -24 + -6x = -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. -24 + -6x + -3x = -6 + 3x + -3x Combine like terms: -6x + -3x = -9x -24 + -9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -9x = -6 + 0 -24 + -9x = -6 Add '24' to each side of the equation. -24 + 24 + -9x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = -6 + 24 -9x = -6 + 24 Combine like terms: -6 + 24 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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