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Simplifying 3(x + 4) = 2(10 + x) Reorder the terms: 3(4 + x) = 2(10 + x) (4 * 3 + x * 3) = 2(10 + x) (12 + 3x) = 2(10 + x) 12 + 3x = (10 * 2 + x * 2) 12 + 3x = (20 + 2x) Solving 12 + 3x = 20 + 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. 12 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 20 + 0 12 + 1x = 20 Add '-12' to each side of the equation. 12 + -12 + 1x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 20 + -12 1x = 20 + -12 Combine like terms: 20 + -12 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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