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Simplifying 9(x + 12) = 24x + 18 Reorder the terms: 9(12 + x) = 24x + 18 (12 * 9 + x * 9) = 24x + 18 (108 + 9x) = 24x + 18 Reorder the terms: 108 + 9x = 18 + 24x Solving 108 + 9x = 18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 108 + 9x + -24x = 18 + 24x + -24x Combine like terms: 9x + -24x = -15x 108 + -15x = 18 + 24x + -24x Combine like terms: 24x + -24x = 0 108 + -15x = 18 + 0 108 + -15x = 18 Add '-108' to each side of the equation. 108 + -108 + -15x = 18 + -108 Combine like terms: 108 + -108 = 0 0 + -15x = 18 + -108 -15x = 18 + -108 Combine like terms: 18 + -108 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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