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Simplifying 3(x + 4) = x + 2 Reorder the terms: 3(4 + x) = x + 2 (4 * 3 + x * 3) = x + 2 (12 + 3x) = x + 2 Reorder the terms: 12 + 3x = 2 + x Solving 12 + 3x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 3x + -1x = 2 + x + -1x Combine like terms: 3x + -1x = 2x 12 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 12 + 2x = 2 + 0 12 + 2x = 2 Add '-12' to each side of the equation. 12 + -12 + 2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 2 + -12 2x = 2 + -12 Combine like terms: 2 + -12 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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