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Simplifying 160 = 3x + 7(4x + -17) Reorder the terms: 160 = 3x + 7(-17 + 4x) 160 = 3x + (-17 * 7 + 4x * 7) 160 = 3x + (-119 + 28x) Reorder the terms: 160 = -119 + 3x + 28x Combine like terms: 3x + 28x = 31x 160 = -119 + 31x Solving 160 = -119 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 160 + -31x = -119 + 31x + -31x Combine like terms: 31x + -31x = 0 160 + -31x = -119 + 0 160 + -31x = -119 Add '-160' to each side of the equation. 160 + -160 + -31x = -119 + -160 Combine like terms: 160 + -160 = 0 0 + -31x = -119 + -160 -31x = -119 + -160 Combine like terms: -119 + -160 = -279 -31x = -279 Divide each side by '-31'. x = 9 Simplifying x = 9
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