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Simplifying 17 + 5x = 8(x + 1) Reorder the terms: 17 + 5x = 8(1 + x) 17 + 5x = (1 * 8 + x * 8) 17 + 5x = (8 + 8x) Solving 17 + 5x = 8 + 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. 17 + 5x + -8x = 8 + 8x + -8x Combine like terms: 5x + -8x = -3x 17 + -3x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -3x = 8 + 0 17 + -3x = 8 Add '-17' to each side of the equation. 17 + -17 + -3x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 8 + -17 -3x = 8 + -17 Combine like terms: 8 + -17 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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