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Simplifying 2x + -7(4x + 13) = 117 Reorder the terms: 2x + -7(13 + 4x) = 117 2x + (13 * -7 + 4x * -7) = 117 2x + (-91 + -28x) = 117 Reorder the terms: -91 + 2x + -28x = 117 Combine like terms: 2x + -28x = -26x -91 + -26x = 117 Solving -91 + -26x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + -26x = 117 + 91 Combine like terms: -91 + 91 = 0 0 + -26x = 117 + 91 -26x = 117 + 91 Combine like terms: 117 + 91 = 208 -26x = 208 Divide each side by '-26'. x = -8 Simplifying x = -8
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