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Simplifying 18(2x + 7) = 12(6x + 1) Reorder the terms: 18(7 + 2x) = 12(6x + 1) (7 * 18 + 2x * 18) = 12(6x + 1) (126 + 36x) = 12(6x + 1) Reorder the terms: 126 + 36x = 12(1 + 6x) 126 + 36x = (1 * 12 + 6x * 12) 126 + 36x = (12 + 72x) Solving 126 + 36x = 12 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 126 + 36x + -72x = 12 + 72x + -72x Combine like terms: 36x + -72x = -36x 126 + -36x = 12 + 72x + -72x Combine like terms: 72x + -72x = 0 126 + -36x = 12 + 0 126 + -36x = 12 Add '-126' to each side of the equation. 126 + -126 + -36x = 12 + -126 Combine like terms: 126 + -126 = 0 0 + -36x = 12 + -126 -36x = 12 + -126 Combine like terms: 12 + -126 = -114 -36x = -114 Divide each side by '-36'. x = 3.166666667 Simplifying x = 3.166666667
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