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Simplifying -2(1 + -4x) = 10(x + 2) (1 * -2 + -4x * -2) = 10(x + 2) (-2 + 8x) = 10(x + 2) Reorder the terms: -2 + 8x = 10(2 + x) -2 + 8x = (2 * 10 + x * 10) -2 + 8x = (20 + 10x) Solving -2 + 8x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 8x + -10x = 20 + 10x + -10x Combine like terms: 8x + -10x = -2x -2 + -2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -2x = 20 + 0 -2 + -2x = 20 Add '2' to each side of the equation. -2 + 2 + -2x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 20 + 2 -2x = 20 + 2 Combine like terms: 20 + 2 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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