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