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Simplifying 6(2x + -4) = 6(6x + 2) Reorder the terms: 6(-4 + 2x) = 6(6x + 2) (-4 * 6 + 2x * 6) = 6(6x + 2) (-24 + 12x) = 6(6x + 2) Reorder the terms: -24 + 12x = 6(2 + 6x) -24 + 12x = (2 * 6 + 6x * 6) -24 + 12x = (12 + 36x) Solving -24 + 12x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -24 + 12x + -36x = 12 + 36x + -36x Combine like terms: 12x + -36x = -24x -24 + -24x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -24 + -24x = 12 + 0 -24 + -24x = 12 Add '24' to each side of the equation. -24 + 24 + -24x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -24x = 12 + 24 -24x = 12 + 24 Combine like terms: 12 + 24 = 36 -24x = 36 Divide each side by '-24'. x = -1.5 Simplifying x = -1.5
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