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Simplifying 3(3x + -9) + 8x = 4(5x + -9) Reorder the terms: 3(-9 + 3x) + 8x = 4(5x + -9) (-9 * 3 + 3x * 3) + 8x = 4(5x + -9) (-27 + 9x) + 8x = 4(5x + -9) Combine like terms: 9x + 8x = 17x -27 + 17x = 4(5x + -9) Reorder the terms: -27 + 17x = 4(-9 + 5x) -27 + 17x = (-9 * 4 + 5x * 4) -27 + 17x = (-36 + 20x) Solving -27 + 17x = -36 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -27 + 17x + -20x = -36 + 20x + -20x Combine like terms: 17x + -20x = -3x -27 + -3x = -36 + 20x + -20x Combine like terms: 20x + -20x = 0 -27 + -3x = -36 + 0 -27 + -3x = -36 Add '27' to each side of the equation. -27 + 27 + -3x = -36 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = -36 + 27 -3x = -36 + 27 Combine like terms: -36 + 27 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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