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Simplifying 6(2x + -4) = 4(4x + -2) Reorder the terms: 6(-4 + 2x) = 4(4x + -2) (-4 * 6 + 2x * 6) = 4(4x + -2) (-24 + 12x) = 4(4x + -2) Reorder the terms: -24 + 12x = 4(-2 + 4x) -24 + 12x = (-2 * 4 + 4x * 4) -24 + 12x = (-8 + 16x) Solving -24 + 12x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 12x + -16x = -8 + 16x + -16x Combine like terms: 12x + -16x = -4x -24 + -4x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + -4x = -8 + 0 -24 + -4x = -8 Add '24' to each side of the equation. -24 + 24 + -4x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -8 + 24 -4x = -8 + 24 Combine like terms: -8 + 24 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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