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Simplifying (8x + -2) + -4x + -3(5 + -7x) = 12(3x + -9) Reorder the terms: (-2 + 8x) + -4x + -3(5 + -7x) = 12(3x + -9) Remove parenthesis around (-2 + 8x) -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 = -17 -17 + 8x + -4x + 21x = 12(3x + -9) Combine like terms: 8x + -4x = 4x -17 + 4x + 21x = 12(3x + -9) Combine like terms: 4x + 21x = 25x -17 + 25x = 12(3x + -9) Reorder the terms: -17 + 25x = 12(-9 + 3x) -17 + 25x = (-9 * 12 + 3x * 12) -17 + 25x = (-108 + 36x) Solving -17 + 25x = -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. -17 + 25x + -36x = -108 + 36x + -36x Combine like terms: 25x + -36x = -11x -17 + -11x = -108 + 36x + -36x Combine like terms: 36x + -36x = 0 -17 + -11x = -108 + 0 -17 + -11x = -108 Add '17' to each side of the equation. -17 + 17 + -11x = -108 + 17 Combine like terms: -17 + 17 = 0 0 + -11x = -108 + 17 -11x = -108 + 17 Combine like terms: -108 + 17 = -91 -11x = -91 Divide each side by '-11'. x = 8.272727273 Simplifying x = 8.272727273
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