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Simplifying 75(x + -33) = -25(12 + -32x) Reorder the terms: 75(-33 + x) = -25(12 + -32x) (-33 * 75 + x * 75) = -25(12 + -32x) (-2475 + 75x) = -25(12 + -32x) -2475 + 75x = (12 * -25 + -32x * -25) -2475 + 75x = (-300 + 800x) Solving -2475 + 75x = -300 + 800x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-800x' to each side of the equation. -2475 + 75x + -800x = -300 + 800x + -800x Combine like terms: 75x + -800x = -725x -2475 + -725x = -300 + 800x + -800x Combine like terms: 800x + -800x = 0 -2475 + -725x = -300 + 0 -2475 + -725x = -300 Add '2475' to each side of the equation. -2475 + 2475 + -725x = -300 + 2475 Combine like terms: -2475 + 2475 = 0 0 + -725x = -300 + 2475 -725x = -300 + 2475 Combine like terms: -300 + 2475 = 2175 -725x = 2175 Divide each side by '-725'. x = -3 Simplifying x = -3
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