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Simplifying 2(x + 6) = 9(2x + 1) Reorder the terms: 2(6 + x) = 9(2x + 1) (6 * 2 + x * 2) = 9(2x + 1) (12 + 2x) = 9(2x + 1) Reorder the terms: 12 + 2x = 9(1 + 2x) 12 + 2x = (1 * 9 + 2x * 9) 12 + 2x = (9 + 18x) Solving 12 + 2x = 9 + 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. 12 + 2x + -18x = 9 + 18x + -18x Combine like terms: 2x + -18x = -16x 12 + -16x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -16x = 9 + 0 12 + -16x = 9 Add '-12' to each side of the equation. 12 + -12 + -16x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 9 + -12 -16x = 9 + -12 Combine like terms: 9 + -12 = -3 -16x = -3 Divide each side by '-16'. x = 0.1875 Simplifying x = 0.1875
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