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Simplifying 4x + -3(2x + -9) = -1(9 + -1x) Reorder the terms: 4x + -3(-9 + 2x) = -1(9 + -1x) 4x + (-9 * -3 + 2x * -3) = -1(9 + -1x) 4x + (27 + -6x) = -1(9 + -1x) Reorder the terms: 27 + 4x + -6x = -1(9 + -1x) Combine like terms: 4x + -6x = -2x 27 + -2x = -1(9 + -1x) 27 + -2x = (9 * -1 + -1x * -1) 27 + -2x = (-9 + 1x) Solving 27 + -2x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + -2x + -1x = -9 + 1x + -1x Combine like terms: -2x + -1x = -3x 27 + -3x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 27 + -3x = -9 + 0 27 + -3x = -9 Add '-27' to each side of the equation. 27 + -27 + -3x = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = -9 + -27 -3x = -9 + -27 Combine like terms: -9 + -27 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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