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Simplifying 4(-2x + 1) = 6(2x + -4) Reorder the terms: 4(1 + -2x) = 6(2x + -4) (1 * 4 + -2x * 4) = 6(2x + -4) (4 + -8x) = 6(2x + -4) Reorder the terms: 4 + -8x = 6(-4 + 2x) 4 + -8x = (-4 * 6 + 2x * 6) 4 + -8x = (-24 + 12x) Solving 4 + -8x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + -8x + -12x = -24 + 12x + -12x Combine like terms: -8x + -12x = -20x 4 + -20x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -20x = -24 + 0 4 + -20x = -24 Add '-4' to each side of the equation. 4 + -4 + -20x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -20x = -24 + -4 -20x = -24 + -4 Combine like terms: -24 + -4 = -28 -20x = -28 Divide each side by '-20'. x = 1.4 Simplifying x = 1.4
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