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Simplifying -3(x + -4) + 8 = 4(2x + -1) + -9 Reorder the terms: -3(-4 + x) + 8 = 4(2x + -1) + -9 (-4 * -3 + x * -3) + 8 = 4(2x + -1) + -9 (12 + -3x) + 8 = 4(2x + -1) + -9 Reorder the terms: 12 + 8 + -3x = 4(2x + -1) + -9 Combine like terms: 12 + 8 = 20 20 + -3x = 4(2x + -1) + -9 Reorder the terms: 20 + -3x = 4(-1 + 2x) + -9 20 + -3x = (-1 * 4 + 2x * 4) + -9 20 + -3x = (-4 + 8x) + -9 Reorder the terms: 20 + -3x = -4 + -9 + 8x Combine like terms: -4 + -9 = -13 20 + -3x = -13 + 8x Solving 20 + -3x = -13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + -3x + -8x = -13 + 8x + -8x Combine like terms: -3x + -8x = -11x 20 + -11x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -11x = -13 + 0 20 + -11x = -13 Add '-20' to each side of the equation. 20 + -20 + -11x = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -13 + -20 -11x = -13 + -20 Combine like terms: -13 + -20 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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