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Simplifying 4x + -1(7 + -1(6 + -5x)) + -1(2x + -9) = 0 4x + -1(7 + (6 * -1 + -5x * -1)) + -1(2x + -9) = 0 4x + -1(7 + (-6 + 5x)) + -1(2x + -9) = 0 Combine like terms: 7 + -6 = 1 4x + -1(1 + 5x) + -1(2x + -9) = 0 4x + (1 * -1 + 5x * -1) + -1(2x + -9) = 0 4x + (-1 + -5x) + -1(2x + -9) = 0 Reorder the terms: 4x + -1 + -5x + -1(-9 + 2x) = 0 4x + -1 + -5x + (-9 * -1 + 2x * -1) = 0 4x + -1 + -5x + (9 + -2x) = 0 Reorder the terms: -1 + 9 + 4x + -5x + -2x = 0 Combine like terms: -1 + 9 = 8 8 + 4x + -5x + -2x = 0 Combine like terms: 4x + -5x = -1x 8 + -1x + -2x = 0 Combine like terms: -1x + -2x = -3x 8 + -3x = 0 Solving 8 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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