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Simplifying 15x + 26(x + -5) = 362 Reorder the terms: 15x + 26(-5 + x) = 362 15x + (-5 * 26 + x * 26) = 362 15x + (-130 + 26x) = 362 Reorder the terms: -130 + 15x + 26x = 362 Combine like terms: 15x + 26x = 41x -130 + 41x = 362 Solving -130 + 41x = 362 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + 41x = 362 + 130 Combine like terms: -130 + 130 = 0 0 + 41x = 362 + 130 41x = 362 + 130 Combine like terms: 362 + 130 = 492 41x = 492 Divide each side by '41'. x = 12 Simplifying x = 12
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