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Simplifying 10x + 23(x + -5) = 314 Reorder the terms: 10x + 23(-5 + x) = 314 10x + (-5 * 23 + x * 23) = 314 10x + (-115 + 23x) = 314 Reorder the terms: -115 + 10x + 23x = 314 Combine like terms: 10x + 23x = 33x -115 + 33x = 314 Solving -115 + 33x = 314 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 + 33x = 314 + 115 Combine like terms: -115 + 115 = 0 0 + 33x = 314 + 115 33x = 314 + 115 Combine like terms: 314 + 115 = 429 33x = 429 Divide each side by '33'. x = 13 Simplifying x = 13
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