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Simplifying -8x + 17 = -5(x + -4) Reorder the terms: 17 + -8x = -5(x + -4) Reorder the terms: 17 + -8x = -5(-4 + x) 17 + -8x = (-4 * -5 + x * -5) 17 + -8x = (20 + -5x) Solving 17 + -8x = 20 + -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 = 20 + -5x + 5x Combine like terms: -8x + 5x = -3x 17 + -3x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + -3x = 20 + 0 17 + -3x = 20 Add '-17' to each side of the equation. 17 + -17 + -3x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 20 + -17 -3x = 20 + -17 Combine like terms: 20 + -17 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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