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Simplifying 3(6 + x) = 2(8 + x) (6 * 3 + x * 3) = 2(8 + x) (18 + 3x) = 2(8 + x) 18 + 3x = (8 * 2 + x * 2) 18 + 3x = (16 + 2x) Solving 18 + 3x = 16 + 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. 18 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = 16 + 0 18 + 1x = 16 Add '-18' to each side of the equation. 18 + -18 + 1x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 16 + -18 1x = 16 + -18 Combine like terms: 16 + -18 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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