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Simplifying 18(2x + 6) = 6(3x + 24) Reorder the terms: 18(6 + 2x) = 6(3x + 24) (6 * 18 + 2x * 18) = 6(3x + 24) (108 + 36x) = 6(3x + 24) Reorder the terms: 108 + 36x = 6(24 + 3x) 108 + 36x = (24 * 6 + 3x * 6) 108 + 36x = (144 + 18x) Solving 108 + 36x = 144 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 108 + 36x + -18x = 144 + 18x + -18x Combine like terms: 36x + -18x = 18x 108 + 18x = 144 + 18x + -18x Combine like terms: 18x + -18x = 0 108 + 18x = 144 + 0 108 + 18x = 144 Add '-108' to each side of the equation. 108 + -108 + 18x = 144 + -108 Combine like terms: 108 + -108 = 0 0 + 18x = 144 + -108 18x = 144 + -108 Combine like terms: 144 + -108 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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