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Simplifying 5(8 + X) + 2(7X + -3) = 91 (8 * 5 + X * 5) + 2(7X + -3) = 91 (40 + 5X) + 2(7X + -3) = 91 Reorder the terms: 40 + 5X + 2(-3 + 7X) = 91 40 + 5X + (-3 * 2 + 7X * 2) = 91 40 + 5X + (-6 + 14X) = 91 Reorder the terms: 40 + -6 + 5X + 14X = 91 Combine like terms: 40 + -6 = 34 34 + 5X + 14X = 91 Combine like terms: 5X + 14X = 19X 34 + 19X = 91 Solving 34 + 19X = 91 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 19X = 91 + -34 Combine like terms: 34 + -34 = 0 0 + 19X = 91 + -34 19X = 91 + -34 Combine like terms: 91 + -34 = 57 19X = 57 Divide each side by '19'. X = 3 Simplifying X = 3
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