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Simplifying 18(2x + 7) = 6(3x + 36) Reorder the terms: 18(7 + 2x) = 6(3x + 36) (7 * 18 + 2x * 18) = 6(3x + 36) (126 + 36x) = 6(3x + 36) Reorder the terms: 126 + 36x = 6(36 + 3x) 126 + 36x = (36 * 6 + 3x * 6) 126 + 36x = (216 + 18x) Solving 126 + 36x = 216 + 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 = 216 + 18x + -18x Combine like terms: 36x + -18x = 18x 126 + 18x = 216 + 18x + -18x Combine like terms: 18x + -18x = 0 126 + 18x = 216 + 0 126 + 18x = 216 Add '-126' to each side of the equation. 126 + -126 + 18x = 216 + -126 Combine like terms: 126 + -126 = 0 0 + 18x = 216 + -126 18x = 216 + -126 Combine like terms: 216 + -126 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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