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Simplifying -8x + 17 = -5(x + 1) + -2 Reorder the terms: 17 + -8x = -5(x + 1) + -2 Reorder the terms: 17 + -8x = -5(1 + x) + -2 17 + -8x = (1 * -5 + x * -5) + -2 17 + -8x = (-5 + -5x) + -2 Reorder the terms: 17 + -8x = -5 + -2 + -5x Combine like terms: -5 + -2 = -7 17 + -8x = -7 + -5x Solving 17 + -8x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + -8x + 5x = -7 + -5x + 5x Combine like terms: -8x + 5x = -3x 17 + -3x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + -3x = -7 + 0 17 + -3x = -7 Add '-17' to each side of the equation. 17 + -17 + -3x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = -7 + -17 -3x = -7 + -17 Combine like terms: -7 + -17 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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