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Simplifying 112 = 7x + 7(-4x + -17) Reorder the terms: 112 = 7x + 7(-17 + -4x) 112 = 7x + (-17 * 7 + -4x * 7) 112 = 7x + (-119 + -28x) Reorder the terms: 112 = -119 + 7x + -28x Combine like terms: 7x + -28x = -21x 112 = -119 + -21x Solving 112 = -119 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 112 + 21x = -119 + -21x + 21x Combine like terms: -21x + 21x = 0 112 + 21x = -119 + 0 112 + 21x = -119 Add '-112' to each side of the equation. 112 + -112 + 21x = -119 + -112 Combine like terms: 112 + -112 = 0 0 + 21x = -119 + -112 21x = -119 + -112 Combine like terms: -119 + -112 = -231 21x = -231 Divide each side by '21'. x = -11 Simplifying x = -11
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