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Simplifying 15x + 23(x + -5) = 417 Reorder the terms: 15x + 23(-5 + x) = 417 15x + (-5 * 23 + x * 23) = 417 15x + (-115 + 23x) = 417 Reorder the terms: -115 + 15x + 23x = 417 Combine like terms: 15x + 23x = 38x -115 + 38x = 417 Solving -115 + 38x = 417 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + 38x = 417 + 115 Combine like terms: -115 + 115 = 0 0 + 38x = 417 + 115 38x = 417 + 115 Combine like terms: 417 + 115 = 532 38x = 532 Divide each side by '38'. x = 14 Simplifying x = 14
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