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Simplifying 3(3x + -9) + -14x = -1(6x + 5) Reorder the terms: 3(-9 + 3x) + -14x = -1(6x + 5) (-9 * 3 + 3x * 3) + -14x = -1(6x + 5) (-27 + 9x) + -14x = -1(6x + 5) Combine like terms: 9x + -14x = -5x -27 + -5x = -1(6x + 5) Reorder the terms: -27 + -5x = -1(5 + 6x) -27 + -5x = (5 * -1 + 6x * -1) -27 + -5x = (-5 + -6x) Solving -27 + -5x = -5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -27 + -5x + 6x = -5 + -6x + 6x Combine like terms: -5x + 6x = 1x -27 + 1x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 1x = -5 + 0 -27 + 1x = -5 Add '27' to each side of the equation. -27 + 27 + 1x = -5 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -5 + 27 1x = -5 + 27 Combine like terms: -5 + 27 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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