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Simplifying 3(3x + -9) + -5(4x + -2) = 87 + -9(5x + 4) Reorder the terms: 3(-9 + 3x) + -5(4x + -2) = 87 + -9(5x + 4) (-9 * 3 + 3x * 3) + -5(4x + -2) = 87 + -9(5x + 4) (-27 + 9x) + -5(4x + -2) = 87 + -9(5x + 4) Reorder the terms: -27 + 9x + -5(-2 + 4x) = 87 + -9(5x + 4) -27 + 9x + (-2 * -5 + 4x * -5) = 87 + -9(5x + 4) -27 + 9x + (10 + -20x) = 87 + -9(5x + 4) Reorder the terms: -27 + 10 + 9x + -20x = 87 + -9(5x + 4) Combine like terms: -27 + 10 = -17 -17 + 9x + -20x = 87 + -9(5x + 4) Combine like terms: 9x + -20x = -11x -17 + -11x = 87 + -9(5x + 4) Reorder the terms: -17 + -11x = 87 + -9(4 + 5x) -17 + -11x = 87 + (4 * -9 + 5x * -9) -17 + -11x = 87 + (-36 + -45x) Combine like terms: 87 + -36 = 51 -17 + -11x = 51 + -45x Solving -17 + -11x = 51 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -17 + -11x + 45x = 51 + -45x + 45x Combine like terms: -11x + 45x = 34x -17 + 34x = 51 + -45x + 45x Combine like terms: -45x + 45x = 0 -17 + 34x = 51 + 0 -17 + 34x = 51 Add '17' to each side of the equation. -17 + 17 + 34x = 51 + 17 Combine like terms: -17 + 17 = 0 0 + 34x = 51 + 17 34x = 51 + 17 Combine like terms: 51 + 17 = 68 34x = 68 Divide each side by '34'. x = 2 Simplifying x = 2
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