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Simplifying 15x + 26(x + -2) = 563 Reorder the terms: 15x + 26(-2 + x) = 563 15x + (-2 * 26 + x * 26) = 563 15x + (-52 + 26x) = 563 Reorder the terms: -52 + 15x + 26x = 563 Combine like terms: 15x + 26x = 41x -52 + 41x = 563 Solving -52 + 41x = 563 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 + 41x = 563 + 52 Combine like terms: -52 + 52 = 0 0 + 41x = 563 + 52 41x = 563 + 52 Combine like terms: 563 + 52 = 615 41x = 615 Divide each side by '41'. x = 15 Simplifying x = 15
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