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Simplifying 9(2x + -3) + -3(3x + 2) = 12 Reorder the terms: 9(-3 + 2x) + -3(3x + 2) = 12 (-3 * 9 + 2x * 9) + -3(3x + 2) = 12 (-27 + 18x) + -3(3x + 2) = 12 Reorder the terms: -27 + 18x + -3(2 + 3x) = 12 -27 + 18x + (2 * -3 + 3x * -3) = 12 -27 + 18x + (-6 + -9x) = 12 Reorder the terms: -27 + -6 + 18x + -9x = 12 Combine like terms: -27 + -6 = -33 -33 + 18x + -9x = 12 Combine like terms: 18x + -9x = 9x -33 + 9x = 12 Solving -33 + 9x = 12 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 + 9x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = 12 + 33 9x = 12 + 33 Combine like terms: 12 + 33 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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