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Simplifying 2(2 + -3x) + -2x = 2(1 + -2x) (2 * 2 + -3x * 2) + -2x = 2(1 + -2x) (4 + -6x) + -2x = 2(1 + -2x) Combine like terms: -6x + -2x = -8x 4 + -8x = 2(1 + -2x) 4 + -8x = (1 * 2 + -2x * 2) 4 + -8x = (2 + -4x) Solving 4 + -8x = 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. 4 + -8x + 4x = 2 + -4x + 4x Combine like terms: -8x + 4x = -4x 4 + -4x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + -4x = 2 + 0 4 + -4x = 2 Add '-4' to each side of the equation. 4 + -4 + -4x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 2 + -4 -4x = 2 + -4 Combine like terms: 2 + -4 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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