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Simplifying 149 = 3x + 4(7x + -17) Reorder the terms: 149 = 3x + 4(-17 + 7x) 149 = 3x + (-17 * 4 + 7x * 4) 149 = 3x + (-68 + 28x) Reorder the terms: 149 = -68 + 3x + 28x Combine like terms: 3x + 28x = 31x 149 = -68 + 31x Solving 149 = -68 + 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. 149 + -31x = -68 + 31x + -31x Combine like terms: 31x + -31x = 0 149 + -31x = -68 + 0 149 + -31x = -68 Add '-149' to each side of the equation. 149 + -149 + -31x = -68 + -149 Combine like terms: 149 + -149 = 0 0 + -31x = -68 + -149 -31x = -68 + -149 Combine like terms: -68 + -149 = -217 -31x = -217 Divide each side by '-31'. x = 7 Simplifying x = 7
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