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Simplifying -2(2x + -6) = -3(x + 4) + -9 Reorder the terms: -2(-6 + 2x) = -3(x + 4) + -9 (-6 * -2 + 2x * -2) = -3(x + 4) + -9 (12 + -4x) = -3(x + 4) + -9 Reorder the terms: 12 + -4x = -3(4 + x) + -9 12 + -4x = (4 * -3 + x * -3) + -9 12 + -4x = (-12 + -3x) + -9 Reorder the terms: 12 + -4x = -12 + -9 + -3x Combine like terms: -12 + -9 = -21 12 + -4x = -21 + -3x Solving 12 + -4x = -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 + -4x + 3x = -21 + -3x + 3x Combine like terms: -4x + 3x = -1x 12 + -1x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -1x = -21 + 0 12 + -1x = -21 Add '-12' to each side of the equation. 12 + -12 + -1x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -21 + -12 -1x = -21 + -12 Combine like terms: -21 + -12 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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