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Simplifying 6(2x + -4) = (4x + -6) Reorder the terms: 6(-4 + 2x) = (4x + -6) (-4 * 6 + 2x * 6) = (4x + -6) (-24 + 12x) = (4x + -6) Reorder the terms: -24 + 12x = (-6 + 4x) Remove parenthesis around (-6 + 4x) -24 + 12x = -6 + 4x Solving -24 + 12x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 12x + -4x = -6 + 4x + -4x Combine like terms: 12x + -4x = 8x -24 + 8x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 8x = -6 + 0 -24 + 8x = -6 Add '24' to each side of the equation. -24 + 24 + 8x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = -6 + 24 8x = -6 + 24 Combine like terms: -6 + 24 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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