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Simplifying 3(x + 5) + 7 = x + 8 Reorder the terms: 3(5 + x) + 7 = x + 8 (5 * 3 + x * 3) + 7 = x + 8 (15 + 3x) + 7 = x + 8 Reorder the terms: 15 + 7 + 3x = x + 8 Combine like terms: 15 + 7 = 22 22 + 3x = x + 8 Reorder the terms: 22 + 3x = 8 + x Solving 22 + 3x = 8 + 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. 22 + 3x + -1x = 8 + x + -1x Combine like terms: 3x + -1x = 2x 22 + 2x = 8 + x + -1x Combine like terms: x + -1x = 0 22 + 2x = 8 + 0 22 + 2x = 8 Add '-22' to each side of the equation. 22 + -22 + 2x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 8 + -22 2x = 8 + -22 Combine like terms: 8 + -22 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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