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