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