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Simplifying 6(-2x + 4) = 2x + 4x + -8 Reorder the terms: 6(4 + -2x) = 2x + 4x + -8 (4 * 6 + -2x * 6) = 2x + 4x + -8 (24 + -12x) = 2x + 4x + -8 Reorder the terms: 24 + -12x = -8 + 2x + 4x Combine like terms: 2x + 4x = 6x 24 + -12x = -8 + 6x Solving 24 + -12x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -12x + -6x = -8 + 6x + -6x Combine like terms: -12x + -6x = -18x 24 + -18x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -18x = -8 + 0 24 + -18x = -8 Add '-24' to each side of the equation. 24 + -24 + -18x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -8 + -24 -18x = -8 + -24 Combine like terms: -8 + -24 = -32 -18x = -32 Divide each side by '-18'. x = 1.777777778 Simplifying x = 1.777777778
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