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Simplifying 2(1 + -1x) = 5 + -2(1 + 4x) (1 * 2 + -1x * 2) = 5 + -2(1 + 4x) (2 + -2x) = 5 + -2(1 + 4x) 2 + -2x = 5 + (1 * -2 + 4x * -2) 2 + -2x = 5 + (-2 + -8x) Combine like terms: 5 + -2 = 3 2 + -2x = 3 + -8x Solving 2 + -2x = 3 + -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 + -2x + 8x = 3 + -8x + 8x Combine like terms: -2x + 8x = 6x 2 + 6x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 6x = 3 + 0 2 + 6x = 3 Add '-2' to each side of the equation. 2 + -2 + 6x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 3 + -2 6x = 3 + -2 Combine like terms: 3 + -2 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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