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Simplifying -2(6 + -10x) = 1 + -1(2x + -6) (6 * -2 + -10x * -2) = 1 + -1(2x + -6) (-12 + 20x) = 1 + -1(2x + -6) Reorder the terms: -12 + 20x = 1 + -1(-6 + 2x) -12 + 20x = 1 + (-6 * -1 + 2x * -1) -12 + 20x = 1 + (6 + -2x) Combine like terms: 1 + 6 = 7 -12 + 20x = 7 + -2x Solving -12 + 20x = 7 + -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 + 20x + 2x = 7 + -2x + 2x Combine like terms: 20x + 2x = 22x -12 + 22x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 22x = 7 + 0 -12 + 22x = 7 Add '12' to each side of the equation. -12 + 12 + 22x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 22x = 7 + 12 22x = 7 + 12 Combine like terms: 7 + 12 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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