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Simplifying -1x + 17 = -1(4x + -5) Reorder the terms: 17 + -1x = -1(4x + -5) Reorder the terms: 17 + -1x = -1(-5 + 4x) 17 + -1x = (-5 * -1 + 4x * -1) 17 + -1x = (5 + -4x) Solving 17 + -1x = 5 + -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 + -1x + 4x = 5 + -4x + 4x Combine like terms: -1x + 4x = 3x 17 + 3x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 3x = 5 + 0 17 + 3x = 5 Add '-17' to each side of the equation. 17 + -17 + 3x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 5 + -17 3x = 5 + -17 Combine like terms: 5 + -17 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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