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Simplifying 5(X + -2) + -1(1 + -7(2X + 1)) = 34 Reorder the terms: 5(-2 + X) + -1(1 + -7(2X + 1)) = 34 (-2 * 5 + X * 5) + -1(1 + -7(2X + 1)) = 34 (-10 + 5X) + -1(1 + -7(2X + 1)) = 34 Reorder the terms: -10 + 5X + -1(1 + -7(1 + 2X)) = 34 -10 + 5X + -1(1 + (1 * -7 + 2X * -7)) = 34 -10 + 5X + -1(1 + (-7 + -14X)) = 34 Combine like terms: 1 + -7 = -6 -10 + 5X + -1(-6 + -14X) = 34 -10 + 5X + (-6 * -1 + -14X * -1) = 34 -10 + 5X + (6 + 14X) = 34 Reorder the terms: -10 + 6 + 5X + 14X = 34 Combine like terms: -10 + 6 = -4 -4 + 5X + 14X = 34 Combine like terms: 5X + 14X = 19X -4 + 19X = 34 Solving -4 + 19X = 34 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 19X = 34 + 4 Combine like terms: -4 + 4 = 0 0 + 19X = 34 + 4 19X = 34 + 4 Combine like terms: 34 + 4 = 38 19X = 38 Divide each side by '19'. X = 2 Simplifying X = 2
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