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Simplifying 9(2x + -3) + -9x = 45 Reorder the terms: 9(-3 + 2x) + -9x = 45 (-3 * 9 + 2x * 9) + -9x = 45 (-27 + 18x) + -9x = 45 Combine like terms: 18x + -9x = 9x -27 + 9x = 45 Solving -27 + 9x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 9x = 45 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 45 + 27 9x = 45 + 27 Combine like terms: 45 + 27 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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