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Simplifying 2x + 3(x + -9) + -2(x + 3) = 0 Reorder the terms: 2x + 3(-9 + x) + -2(x + 3) = 0 2x + (-9 * 3 + x * 3) + -2(x + 3) = 0 2x + (-27 + 3x) + -2(x + 3) = 0 Reorder the terms: 2x + -27 + 3x + -2(3 + x) = 0 2x + -27 + 3x + (3 * -2 + x * -2) = 0 2x + -27 + 3x + (-6 + -2x) = 0 Reorder the terms: -27 + -6 + 2x + 3x + -2x = 0 Combine like terms: -27 + -6 = -33 -33 + 2x + 3x + -2x = 0 Combine like terms: 2x + 3x = 5x -33 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -33 + 3x = 0 Solving -33 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 3x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = 0 + 33 3x = 0 + 33 Combine like terms: 0 + 33 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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