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Simplifying 10X + 23(X + -4) = 172 Reorder the terms: 10X + 23(-4 + X) = 172 10X + (-4 * 23 + X * 23) = 172 10X + (-92 + 23X) = 172 Reorder the terms: -92 + 10X + 23X = 172 Combine like terms: 10X + 23X = 33X -92 + 33X = 172 Solving -92 + 33X = 172 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + 33X = 172 + 92 Combine like terms: -92 + 92 = 0 0 + 33X = 172 + 92 33X = 172 + 92 Combine like terms: 172 + 92 = 264 33X = 264 Divide each side by '33'. X = 8 Simplifying X = 8
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