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Simplifying -9x + 2(4x + 12) = 4(1 + -3x) + -13 Reorder the terms: -9x + 2(12 + 4x) = 4(1 + -3x) + -13 -9x + (12 * 2 + 4x * 2) = 4(1 + -3x) + -13 -9x + (24 + 8x) = 4(1 + -3x) + -13 Reorder the terms: 24 + -9x + 8x = 4(1 + -3x) + -13 Combine like terms: -9x + 8x = -1x 24 + -1x = 4(1 + -3x) + -13 24 + -1x = (1 * 4 + -3x * 4) + -13 24 + -1x = (4 + -12x) + -13 Reorder the terms: 24 + -1x = 4 + -13 + -12x Combine like terms: 4 + -13 = -9 24 + -1x = -9 + -12x Solving 24 + -1x = -9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 24 + -1x + 12x = -9 + -12x + 12x Combine like terms: -1x + 12x = 11x 24 + 11x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 11x = -9 + 0 24 + 11x = -9 Add '-24' to each side of the equation. 24 + -24 + 11x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = -9 + -24 11x = -9 + -24 Combine like terms: -9 + -24 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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