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Simplifying 8(-48x + -36) = -10(12 + -8x) Reorder the terms: 8(-36 + -48x) = -10(12 + -8x) (-36 * 8 + -48x * 8) = -10(12 + -8x) (-288 + -384x) = -10(12 + -8x) -288 + -384x = (12 * -10 + -8x * -10) -288 + -384x = (-120 + 80x) Solving -288 + -384x = -120 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -288 + -384x + -80x = -120 + 80x + -80x Combine like terms: -384x + -80x = -464x -288 + -464x = -120 + 80x + -80x Combine like terms: 80x + -80x = 0 -288 + -464x = -120 + 0 -288 + -464x = -120 Add '288' to each side of the equation. -288 + 288 + -464x = -120 + 288 Combine like terms: -288 + 288 = 0 0 + -464x = -120 + 288 -464x = -120 + 288 Combine like terms: -120 + 288 = 168 -464x = 168 Divide each side by '-464'. x = -0.3620689655 Simplifying x = -0.3620689655
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