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Simplifying 31(x + -98) = x + -1(-78) Reorder the terms: 31(-98 + x) = x + -1(-78) (-98 * 31 + x * 31) = x + -1(-78) (-3038 + 31x) = x + -1(-78) Multiply -1 * -78 -3038 + 31x = x + 78 Reorder the terms: -3038 + 31x = 78 + x Solving -3038 + 31x = 78 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3038 + 31x + -1x = 78 + x + -1x Combine like terms: 31x + -1x = 30x -3038 + 30x = 78 + x + -1x Combine like terms: x + -1x = 0 -3038 + 30x = 78 + 0 -3038 + 30x = 78 Add '3038' to each side of the equation. -3038 + 3038 + 30x = 78 + 3038 Combine like terms: -3038 + 3038 = 0 0 + 30x = 78 + 3038 30x = 78 + 3038 Combine like terms: 78 + 3038 = 3116 30x = 3116 Divide each side by '30'. x = 103.8666667 Simplifying x = 103.8666667
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