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Simplifying 4x + -3[4(x + 9) + -1(x + -8)] + -2 = 0 Reorder the terms: 4x + -3[4(9 + x) + -1(x + -8)] + -2 = 0 4x + -3[(9 * 4 + x * 4) + -1(x + -8)] + -2 = 0 4x + -3[(36 + 4x) + -1(x + -8)] + -2 = 0 Reorder the terms: 4x + -3[36 + 4x + -1(-8 + x)] + -2 = 0 4x + -3[36 + 4x + (-8 * -1 + x * -1)] + -2 = 0 4x + -3[36 + 4x + (8 + -1x)] + -2 = 0 Reorder the terms: 4x + -3[36 + 8 + 4x + -1x] + -2 = 0 Combine like terms: 36 + 8 = 44 4x + -3[44 + 4x + -1x] + -2 = 0 Combine like terms: 4x + -1x = 3x 4x + -3[44 + 3x] + -2 = 0 4x + [44 * -3 + 3x * -3] + -2 = 0 4x + [-132 + -9x] + -2 = 0 Reorder the terms: -132 + -2 + 4x + -9x = 0 Combine like terms: -132 + -2 = -134 -134 + 4x + -9x = 0 Combine like terms: 4x + -9x = -5x -134 + -5x = 0 Solving -134 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '134' to each side of the equation. -134 + 134 + -5x = 0 + 134 Combine like terms: -134 + 134 = 0 0 + -5x = 0 + 134 -5x = 0 + 134 Combine like terms: 0 + 134 = 134 -5x = 134 Divide each side by '-5'. x = -26.8 Simplifying x = -26.8
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