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Simplifying -3(3x + 9) = 2(4x + 5) Reorder the terms: -3(9 + 3x) = 2(4x + 5) (9 * -3 + 3x * -3) = 2(4x + 5) (-27 + -9x) = 2(4x + 5) Reorder the terms: -27 + -9x = 2(5 + 4x) -27 + -9x = (5 * 2 + 4x * 2) -27 + -9x = (10 + 8x) Solving -27 + -9x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + -9x + -8x = 10 + 8x + -8x Combine like terms: -9x + -8x = -17x -27 + -17x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -17x = 10 + 0 -27 + -17x = 10 Add '27' to each side of the equation. -27 + 27 + -17x = 10 + 27 Combine like terms: -27 + 27 = 0 0 + -17x = 10 + 27 -17x = 10 + 27 Combine like terms: 10 + 27 = 37 -17x = 37 Divide each side by '-17'. x = -2.176470588 Simplifying x = -2.176470588
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