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Simplifying -2(4x + -6) = 3(x + -4) + -9 Reorder the terms: -2(-6 + 4x) = 3(x + -4) + -9 (-6 * -2 + 4x * -2) = 3(x + -4) + -9 (12 + -8x) = 3(x + -4) + -9 Reorder the terms: 12 + -8x = 3(-4 + x) + -9 12 + -8x = (-4 * 3 + x * 3) + -9 12 + -8x = (-12 + 3x) + -9 Reorder the terms: 12 + -8x = -12 + -9 + 3x Combine like terms: -12 + -9 = -21 12 + -8x = -21 + 3x Solving 12 + -8x = -21 + 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. 12 + -8x + -3x = -21 + 3x + -3x Combine like terms: -8x + -3x = -11x 12 + -11x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -11x = -21 + 0 12 + -11x = -21 Add '-12' to each side of the equation. 12 + -12 + -11x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -21 + -12 -11x = -21 + -12 Combine like terms: -21 + -12 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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