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Simplifying 8x + -1(4 + -5x) = 2(x + -1) 8x + (4 * -1 + -5x * -1) = 2(x + -1) 8x + (-4 + 5x) = 2(x + -1) Reorder the terms: -4 + 8x + 5x = 2(x + -1) Combine like terms: 8x + 5x = 13x -4 + 13x = 2(x + -1) Reorder the terms: -4 + 13x = 2(-1 + x) -4 + 13x = (-1 * 2 + x * 2) -4 + 13x = (-2 + 2x) Solving -4 + 13x = -2 + 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. -4 + 13x + -2x = -2 + 2x + -2x Combine like terms: 13x + -2x = 11x -4 + 11x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 11x = -2 + 0 -4 + 11x = -2 Add '4' to each side of the equation. -4 + 4 + 11x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = -2 + 4 11x = -2 + 4 Combine like terms: -2 + 4 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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