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Simplifying 2(1 + 4x) = -1(x + 1) (1 * 2 + 4x * 2) = -1(x + 1) (2 + 8x) = -1(x + 1) Reorder the terms: 2 + 8x = -1(1 + x) 2 + 8x = (1 * -1 + x * -1) 2 + 8x = (-1 + -1x) Solving 2 + 8x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 8x + x = -1 + -1x + x Combine like terms: 8x + x = 9x 2 + 9x = -1 + -1x + x Combine like terms: -1x + x = 0 2 + 9x = -1 + 0 2 + 9x = -1 Add '-2' to each side of the equation. 2 + -2 + 9x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = -1 + -2 9x = -1 + -2 Combine like terms: -1 + -2 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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