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Simplifying -10(17 + 31x) + -9(x + 16) = 324 (17 * -10 + 31x * -10) + -9(x + 16) = 324 (-170 + -310x) + -9(x + 16) = 324 Reorder the terms: -170 + -310x + -9(16 + x) = 324 -170 + -310x + (16 * -9 + x * -9) = 324 -170 + -310x + (-144 + -9x) = 324 Reorder the terms: -170 + -144 + -310x + -9x = 324 Combine like terms: -170 + -144 = -314 -314 + -310x + -9x = 324 Combine like terms: -310x + -9x = -319x -314 + -319x = 324 Solving -314 + -319x = 324 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '314' to each side of the equation. -314 + 314 + -319x = 324 + 314 Combine like terms: -314 + 314 = 0 0 + -319x = 324 + 314 -319x = 324 + 314 Combine like terms: 324 + 314 = 638 -319x = 638 Divide each side by '-319'. x = -2 Simplifying x = -2
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