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Simplifying -2(-8x + 6) = 10x + 2(1 + 10x) Reorder the terms: -2(6 + -8x) = 10x + 2(1 + 10x) (6 * -2 + -8x * -2) = 10x + 2(1 + 10x) (-12 + 16x) = 10x + 2(1 + 10x) -12 + 16x = 10x + (1 * 2 + 10x * 2) -12 + 16x = 10x + (2 + 20x) Reorder the terms: -12 + 16x = 2 + 10x + 20x Combine like terms: 10x + 20x = 30x -12 + 16x = 2 + 30x Solving -12 + 16x = 2 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 16x + -30x = 2 + 30x + -30x Combine like terms: 16x + -30x = -14x -12 + -14x = 2 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -14x = 2 + 0 -12 + -14x = 2 Add '12' to each side of the equation. -12 + 12 + -14x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = 2 + 12 -14x = 2 + 12 Combine like terms: 2 + 12 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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