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Simplifying -8x + 17 = -4x + -5(x + -3) Reorder the terms: 17 + -8x = -4x + -5(x + -3) Reorder the terms: 17 + -8x = -4x + -5(-3 + x) 17 + -8x = -4x + (-3 * -5 + x * -5) 17 + -8x = -4x + (15 + -5x) Reorder the terms: 17 + -8x = 15 + -4x + -5x Combine like terms: -4x + -5x = -9x 17 + -8x = 15 + -9x Solving 17 + -8x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 17 + -8x + 9x = 15 + -9x + 9x Combine like terms: -8x + 9x = 1x 17 + 1x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 17 + 1x = 15 + 0 17 + 1x = 15 Add '-17' to each side of the equation. 17 + -17 + 1x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 15 + -17 1x = 15 + -17 Combine like terms: 15 + -17 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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