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Simplifying 3(x + 7) + -7 = x + 32 Reorder the terms: 3(7 + x) + -7 = x + 32 (7 * 3 + x * 3) + -7 = x + 32 (21 + 3x) + -7 = x + 32 Reorder the terms: 21 + -7 + 3x = x + 32 Combine like terms: 21 + -7 = 14 14 + 3x = x + 32 Reorder the terms: 14 + 3x = 32 + x Solving 14 + 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. 14 + 3x + -1x = 32 + x + -1x Combine like terms: 3x + -1x = 2x 14 + 2x = 32 + x + -1x Combine like terms: x + -1x = 0 14 + 2x = 32 + 0 14 + 2x = 32 Add '-14' to each side of the equation. 14 + -14 + 2x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 32 + -14 2x = 32 + -14 Combine like terms: 32 + -14 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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