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Simplifying 4x + -9 + -1(5 + -2x) = -1(-1x + -7) + 6x + -8 4x + -9 + (5 * -1 + -2x * -1) = -1(-1x + -7) + 6x + -8 4x + -9 + (-5 + 2x) = -1(-1x + -7) + 6x + -8 Reorder the terms: -9 + -5 + 4x + 2x = -1(-1x + -7) + 6x + -8 Combine like terms: -9 + -5 = -14 -14 + 4x + 2x = -1(-1x + -7) + 6x + -8 Combine like terms: 4x + 2x = 6x -14 + 6x = -1(-1x + -7) + 6x + -8 Reorder the terms: -14 + 6x = -1(-7 + -1x) + 6x + -8 -14 + 6x = (-7 * -1 + -1x * -1) + 6x + -8 -14 + 6x = (7 + 1x) + 6x + -8 Reorder the terms: -14 + 6x = 7 + -8 + 1x + 6x Combine like terms: 7 + -8 = -1 -14 + 6x = -1 + 1x + 6x Combine like terms: 1x + 6x = 7x -14 + 6x = -1 + 7x Solving -14 + 6x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 6x + -7x = -1 + 7x + -7x Combine like terms: 6x + -7x = -1x -14 + -1x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -1x = -1 + 0 -14 + -1x = -1 Add '14' to each side of the equation. -14 + 14 + -1x = -1 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -1 + 14 -1x = -1 + 14 Combine like terms: -1 + 14 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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