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Simplifying 2x + -1(8x + 1) + -1(x + 2) * 5 = x Reorder the terms: 2x + -1(1 + 8x) + -1(x + 2) * 5 = x 2x + (1 * -1 + 8x * -1) + -1(x + 2) * 5 = x 2x + (-1 + -8x) + -1(x + 2) * 5 = x Reorder the terms: 2x + -1 + -8x + -1(2 + x) * 5 = x Reorder the terms for easier multiplication: 2x + -1 + -8x + -1 * 5(2 + x) = x Multiply -1 * 5 2x + -1 + -8x + -5(2 + x) = x 2x + -1 + -8x + (2 * -5 + x * -5) = x 2x + -1 + -8x + (-10 + -5x) = x Reorder the terms: -1 + -10 + 2x + -8x + -5x = x Combine like terms: -1 + -10 = -11 -11 + 2x + -8x + -5x = x Combine like terms: 2x + -8x = -6x -11 + -6x + -5x = x Combine like terms: -6x + -5x = -11x -11 + -11x = x Solving -11 + -11x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + -11x + -1x = x + -1x Combine like terms: -11x + -1x = -12x -11 + -12x = x + -1x Combine like terms: x + -1x = 0 -11 + -12x = 0 Add '11' to each side of the equation. -11 + 11 + -12x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 0 + 11 -12x = 0 + 11 Combine like terms: 0 + 11 = 11 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667
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