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Simplifying 3(x + 8) = 2(x + 6) Reorder the terms: 3(8 + x) = 2(x + 6) (8 * 3 + x * 3) = 2(x + 6) (24 + 3x) = 2(x + 6) Reorder the terms: 24 + 3x = 2(6 + x) 24 + 3x = (6 * 2 + x * 2) 24 + 3x = (12 + 2x) Solving 24 + 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. 24 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 24 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 1x = 12 + 0 24 + 1x = 12 Add '-24' to each side of the equation. 24 + -24 + 1x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 12 + -24 1x = 12 + -24 Combine like terms: 12 + -24 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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