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Simplifying -3(x + -4) = 6(x + -2) Reorder the terms: -3(-4 + x) = 6(x + -2) (-4 * -3 + x * -3) = 6(x + -2) (12 + -3x) = 6(x + -2) Reorder the terms: 12 + -3x = 6(-2 + x) 12 + -3x = (-2 * 6 + x * 6) 12 + -3x = (-12 + 6x) Solving 12 + -3x = -12 + 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. 12 + -3x + -6x = -12 + 6x + -6x Combine like terms: -3x + -6x = -9x 12 + -9x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -9x = -12 + 0 12 + -9x = -12 Add '-12' to each side of the equation. 12 + -12 + -9x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -12 + -12 -9x = -12 + -12 Combine like terms: -12 + -12 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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