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Simplifying 6(2x + -2) = 2x + 8 Reorder the terms: 6(-2 + 2x) = 2x + 8 (-2 * 6 + 2x * 6) = 2x + 8 (-12 + 12x) = 2x + 8 Reorder the terms: -12 + 12x = 8 + 2x Solving -12 + 12x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 12x + -2x = 8 + 2x + -2x Combine like terms: 12x + -2x = 10x -12 + 10x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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