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Simplifying 8(4x + -6) = 96x Reorder the terms: 8(-6 + 4x) = 96x (-6 * 8 + 4x * 8) = 96x (-48 + 32x) = 96x Solving -48 + 32x = 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -48 + 32x + -96x = 96x + -96x Combine like terms: 32x + -96x = -64x -48 + -64x = 96x + -96x Combine like terms: 96x + -96x = 0 -48 + -64x = 0 Add '48' to each side of the equation. -48 + 48 + -64x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -64x = 0 + 48 -64x = 0 + 48 Combine like terms: 0 + 48 = 48 -64x = 48 Divide each side by '-64'. x = -0.75 Simplifying x = -0.75
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