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Simplifying 18(2x + 6) = 6(3x + 30) Reorder the terms: 18(6 + 2x) = 6(3x + 30) (6 * 18 + 2x * 18) = 6(3x + 30) (108 + 36x) = 6(3x + 30) Reorder the terms: 108 + 36x = 6(30 + 3x) 108 + 36x = (30 * 6 + 3x * 6) 108 + 36x = (180 + 18x) Solving 108 + 36x = 180 + 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 = 180 + 18x + -18x Combine like terms: 36x + -18x = 18x 108 + 18x = 180 + 18x + -18x Combine like terms: 18x + -18x = 0 108 + 18x = 180 + 0 108 + 18x = 180 Add '-108' to each side of the equation. 108 + -108 + 18x = 180 + -108 Combine like terms: 108 + -108 = 0 0 + 18x = 180 + -108 18x = 180 + -108 Combine like terms: 180 + -108 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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