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