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Simplifying 17 = 5(x + -4) + -1(x + -5) Reorder the terms: 17 = 5(-4 + x) + -1(x + -5) 17 = (-4 * 5 + x * 5) + -1(x + -5) 17 = (-20 + 5x) + -1(x + -5) Reorder the terms: 17 = -20 + 5x + -1(-5 + x) 17 = -20 + 5x + (-5 * -1 + x * -1) 17 = -20 + 5x + (5 + -1x) Reorder the terms: 17 = -20 + 5 + 5x + -1x Combine like terms: -20 + 5 = -15 17 = -15 + 5x + -1x Combine like terms: 5x + -1x = 4x 17 = -15 + 4x Solving 17 = -15 + 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 = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -4x = -15 + 0 17 + -4x = -15 Add '-17' to each side of the equation. 17 + -17 + -4x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -15 + -17 -4x = -15 + -17 Combine like terms: -15 + -17 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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