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Simplifying -1(8x + -2) + -4x + -3(5 + -7x) = 12(3x + -9) Reorder the terms: -1(-2 + 8x) + -4x + -3(5 + -7x) = 12(3x + -9) (-2 * -1 + 8x * -1) + -4x + -3(5 + -7x) = 12(3x + -9) (2 + -8x) + -4x + -3(5 + -7x) = 12(3x + -9) 2 + -8x + -4x + (5 * -3 + -7x * -3) = 12(3x + -9) 2 + -8x + -4x + (-15 + 21x) = 12(3x + -9) Reorder the terms: 2 + -15 + -8x + -4x + 21x = 12(3x + -9) Combine like terms: 2 + -15 = -13 -13 + -8x + -4x + 21x = 12(3x + -9) Combine like terms: -8x + -4x = -12x -13 + -12x + 21x = 12(3x + -9) Combine like terms: -12x + 21x = 9x -13 + 9x = 12(3x + -9) Reorder the terms: -13 + 9x = 12(-9 + 3x) -13 + 9x = (-9 * 12 + 3x * 12) -13 + 9x = (-108 + 36x) Solving -13 + 9x = -108 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -13 + 9x + -36x = -108 + 36x + -36x Combine like terms: 9x + -36x = -27x -13 + -27x = -108 + 36x + -36x Combine like terms: 36x + -36x = 0 -13 + -27x = -108 + 0 -13 + -27x = -108 Add '13' to each side of the equation. -13 + 13 + -27x = -108 + 13 Combine like terms: -13 + 13 = 0 0 + -27x = -108 + 13 -27x = -108 + 13 Combine like terms: -108 + 13 = -95 -27x = -95 Divide each side by '-27'. x = 3.518518519 Simplifying x = 3.518518519
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