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Simplifying 5x + 2(4x + -13) = 117 Reorder the terms: 5x + 2(-13 + 4x) = 117 5x + (-13 * 2 + 4x * 2) = 117 5x + (-26 + 8x) = 117 Reorder the terms: -26 + 5x + 8x = 117 Combine like terms: 5x + 8x = 13x -26 + 13x = 117 Solving -26 + 13x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 13x = 117 + 26 Combine like terms: -26 + 26 = 0 0 + 13x = 117 + 26 13x = 117 + 26 Combine like terms: 117 + 26 = 143 13x = 143 Divide each side by '13'. x = 11 Simplifying x = 11
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