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Simplifying 5(10x + -7) = 315 Reorder the terms: 5(-7 + 10x) = 315 (-7 * 5 + 10x * 5) = 315 (-35 + 50x) = 315 Solving -35 + 50x = 315 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 50x = 315 + 35 Combine like terms: -35 + 35 = 0 0 + 50x = 315 + 35 50x = 315 + 35 Combine like terms: 315 + 35 = 350 50x = 350 Divide each side by '50'. x = 7 Simplifying x = 7
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