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Simplifying 10x + 26(x + -2) = 416 Reorder the terms: 10x + 26(-2 + x) = 416 10x + (-2 * 26 + x * 26) = 416 10x + (-52 + 26x) = 416 Reorder the terms: -52 + 10x + 26x = 416 Combine like terms: 10x + 26x = 36x -52 + 36x = 416 Solving -52 + 36x = 416 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 36x = 416 + 52 Combine like terms: -52 + 52 = 0 0 + 36x = 416 + 52 36x = 416 + 52 Combine like terms: 416 + 52 = 468 36x = 468 Divide each side by '36'. x = 13 Simplifying x = 13
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