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Simplifying 9(3 + 2x) = 10x + 45 (3 * 9 + 2x * 9) = 10x + 45 (27 + 18x) = 10x + 45 Reorder the terms: 27 + 18x = 45 + 10x Solving 27 + 18x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 18x + -10x = 45 + 10x + -10x Combine like terms: 18x + -10x = 8x 27 + 8x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + 8x = 45 + 0 27 + 8x = 45 Add '-27' to each side of the equation. 27 + -27 + 8x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 45 + -27 8x = 45 + -27 Combine like terms: 45 + -27 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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