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Simplifying -2(1 + x) = -1(10 + -4x) + -8x (1 * -2 + x * -2) = -1(10 + -4x) + -8x (-2 + -2x) = -1(10 + -4x) + -8x -2 + -2x = (10 * -1 + -4x * -1) + -8x -2 + -2x = (-10 + 4x) + -8x Combine like terms: 4x + -8x = -4x -2 + -2x = -10 + -4x Solving -2 + -2x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -2x + 4x = -10 + -4x + 4x Combine like terms: -2x + 4x = 2x -2 + 2x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 2x = -10 + 0 -2 + 2x = -10 Add '2' to each side of the equation. -2 + 2 + 2x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -10 + 2 2x = -10 + 2 Combine like terms: -10 + 2 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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