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Simplifying 4x + -2 = 2(1 + -2x) Reorder the terms: -2 + 4x = 2(1 + -2x) -2 + 4x = (1 * 2 + -2x * 2) -2 + 4x = (2 + -4x) Solving -2 + 4x = 2 + -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 + 4x + 4x = 2 + -4x + 4x Combine like terms: 4x + 4x = 8x -2 + 8x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 8x = 2 + 0 -2 + 8x = 2 Add '2' to each side of the equation. -2 + 2 + 8x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 2 + 2 8x = 2 + 2 Combine like terms: 2 + 2 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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