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Simplifying 10(7x + -10) + -7x = 467 Reorder the terms: 10(-10 + 7x) + -7x = 467 (-10 * 10 + 7x * 10) + -7x = 467 (-100 + 70x) + -7x = 467 Combine like terms: 70x + -7x = 63x -100 + 63x = 467 Solving -100 + 63x = 467 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 63x = 467 + 100 Combine like terms: -100 + 100 = 0 0 + 63x = 467 + 100 63x = 467 + 100 Combine like terms: 467 + 100 = 567 63x = 567 Divide each side by '63'. x = 9 Simplifying x = 9
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