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Simplifying -2(6 + -10x) = 10(-2x + 6) + 8 (6 * -2 + -10x * -2) = 10(-2x + 6) + 8 (-12 + 20x) = 10(-2x + 6) + 8 Reorder the terms: -12 + 20x = 10(6 + -2x) + 8 -12 + 20x = (6 * 10 + -2x * 10) + 8 -12 + 20x = (60 + -20x) + 8 Reorder the terms: -12 + 20x = 60 + 8 + -20x Combine like terms: 60 + 8 = 68 -12 + 20x = 68 + -20x Solving -12 + 20x = 68 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -12 + 20x + 20x = 68 + -20x + 20x Combine like terms: 20x + 20x = 40x -12 + 40x = 68 + -20x + 20x Combine like terms: -20x + 20x = 0 -12 + 40x = 68 + 0 -12 + 40x = 68 Add '12' to each side of the equation. -12 + 12 + 40x = 68 + 12 Combine like terms: -12 + 12 = 0 0 + 40x = 68 + 12 40x = 68 + 12 Combine like terms: 68 + 12 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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