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Simplifying 3(x + 1) = 2(x + 6) Reorder the terms: 3(1 + x) = 2(x + 6) (1 * 3 + x * 3) = 2(x + 6) (3 + 3x) = 2(x + 6) Reorder the terms: 3 + 3x = 2(6 + x) 3 + 3x = (6 * 2 + x * 2) 3 + 3x = (12 + 2x) Solving 3 + 3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 12 + 0 3 + 1x = 12 Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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