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Simplifying 17 = 5(x + -3) + -1(x + -8) Reorder the terms: 17 = 5(-3 + x) + -1(x + -8) 17 = (-3 * 5 + x * 5) + -1(x + -8) 17 = (-15 + 5x) + -1(x + -8) Reorder the terms: 17 = -15 + 5x + -1(-8 + x) 17 = -15 + 5x + (-8 * -1 + x * -1) 17 = -15 + 5x + (8 + -1x) Reorder the terms: 17 = -15 + 8 + 5x + -1x Combine like terms: -15 + 8 = -7 17 = -7 + 5x + -1x Combine like terms: 5x + -1x = 4x 17 = -7 + 4x Solving 17 = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + -4x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -4x = -7 + 0 17 + -4x = -7 Add '-17' to each side of the equation. 17 + -17 + -4x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -7 + -17 -4x = -7 + -17 Combine like terms: -7 + -17 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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