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Simplifying 10x + 23(x + -5) = 182 Reorder the terms: 10x + 23(-5 + x) = 182 10x + (-5 * 23 + x * 23) = 182 10x + (-115 + 23x) = 182 Reorder the terms: -115 + 10x + 23x = 182 Combine like terms: 10x + 23x = 33x -115 + 33x = 182 Solving -115 + 33x = 182 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 = 182 + 115 Combine like terms: -115 + 115 = 0 0 + 33x = 182 + 115 33x = 182 + 115 Combine like terms: 182 + 115 = 297 33x = 297 Divide each side by '33'. x = 9 Simplifying x = 9
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