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Simplifying 18(2x + 7) = 6(3x + 30) Reorder the terms: 18(7 + 2x) = 6(3x + 30) (7 * 18 + 2x * 18) = 6(3x + 30) (126 + 36x) = 6(3x + 30) Reorder the terms: 126 + 36x = 6(30 + 3x) 126 + 36x = (30 * 6 + 3x * 6) 126 + 36x = (180 + 18x) Solving 126 + 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. 126 + 36x + -18x = 180 + 18x + -18x Combine like terms: 36x + -18x = 18x 126 + 18x = 180 + 18x + -18x Combine like terms: 18x + -18x = 0 126 + 18x = 180 + 0 126 + 18x = 180 Add '-126' to each side of the equation. 126 + -126 + 18x = 180 + -126 Combine like terms: 126 + -126 = 0 0 + 18x = 180 + -126 18x = 180 + -126 Combine like terms: 180 + -126 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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