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Simplifying -3(3x + -9) + 2(2x + 9) = 0 Reorder the terms: -3(-9 + 3x) + 2(2x + 9) = 0 (-9 * -3 + 3x * -3) + 2(2x + 9) = 0 (27 + -9x) + 2(2x + 9) = 0 Reorder the terms: 27 + -9x + 2(9 + 2x) = 0 27 + -9x + (9 * 2 + 2x * 2) = 0 27 + -9x + (18 + 4x) = 0 Reorder the terms: 27 + 18 + -9x + 4x = 0 Combine like terms: 27 + 18 = 45 45 + -9x + 4x = 0 Combine like terms: -9x + 4x = -5x 45 + -5x = 0 Solving 45 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -5x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = 0 + -45 -5x = 0 + -45 Combine like terms: 0 + -45 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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