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Simplifying 3(x + 4) + -8 = x + 32 Reorder the terms: 3(4 + x) + -8 = x + 32 (4 * 3 + x * 3) + -8 = x + 32 (12 + 3x) + -8 = x + 32 Reorder the terms: 12 + -8 + 3x = x + 32 Combine like terms: 12 + -8 = 4 4 + 3x = x + 32 Reorder the terms: 4 + 3x = 32 + x Solving 4 + 3x = 32 + 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. 4 + 3x + -1x = 32 + x + -1x Combine like terms: 3x + -1x = 2x 4 + 2x = 32 + x + -1x Combine like terms: x + -1x = 0 4 + 2x = 32 + 0 4 + 2x = 32 Add '-4' to each side of the equation. 4 + -4 + 2x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 32 + -4 2x = 32 + -4 Combine like terms: 32 + -4 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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