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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 = -1x -27 + -1x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + -1x = -10 + 0 -27 + -1x = -10 Add '27' to each side of the equation. -27 + 27 + -1x = -10 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = -10 + 27 -1x = -10 + 27 Combine like terms: -10 + 27 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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