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Simplifying -1(x + -9) + -4[3x + -2(6 + x) + -5] = 0 Reorder the terms: -1(-9 + x) + -4[3x + -2(6 + x) + -5] = 0 (-9 * -1 + x * -1) + -4[3x + -2(6 + x) + -5] = 0 (9 + -1x) + -4[3x + -2(6 + x) + -5] = 0 9 + -1x + -4[3x + (6 * -2 + x * -2) + -5] = 0 9 + -1x + -4[3x + (-12 + -2x) + -5] = 0 Reorder the terms: 9 + -1x + -4[-12 + -5 + 3x + -2x] = 0 Combine like terms: -12 + -5 = -17 9 + -1x + -4[-17 + 3x + -2x] = 0 Combine like terms: 3x + -2x = 1x 9 + -1x + -4[-17 + 1x] = 0 9 + -1x + [-17 * -4 + 1x * -4] = 0 9 + -1x + [68 + -4x] = 0 Reorder the terms: 9 + 68 + -1x + -4x = 0 Combine like terms: 9 + 68 = 77 77 + -1x + -4x = 0 Combine like terms: -1x + -4x = -5x 77 + -5x = 0 Solving 77 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -5x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + -5x = 0 + -77 -5x = 0 + -77 Combine like terms: 0 + -77 = -77 -5x = -77 Divide each side by '-5'. x = 15.4 Simplifying x = 15.4
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