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Simplifying 10(x + 2) + 15 = 8x + 7 Reorder the terms: 10(2 + x) + 15 = 8x + 7 (2 * 10 + x * 10) + 15 = 8x + 7 (20 + 10x) + 15 = 8x + 7 Reorder the terms: 20 + 15 + 10x = 8x + 7 Combine like terms: 20 + 15 = 35 35 + 10x = 8x + 7 Reorder the terms: 35 + 10x = 7 + 8x Solving 35 + 10x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 10x + -8x = 7 + 8x + -8x Combine like terms: 10x + -8x = 2x 35 + 2x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 2x = 7 + 0 35 + 2x = 7 Add '-35' to each side of the equation. 35 + -35 + 2x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 7 + -35 2x = 7 + -35 Combine like terms: 7 + -35 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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