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Simplifying x + -4(2x + -1) = 5(x + 1) + -8 Reorder the terms: x + -4(-1 + 2x) = 5(x + 1) + -8 x + (-1 * -4 + 2x * -4) = 5(x + 1) + -8 x + (4 + -8x) = 5(x + 1) + -8 Reorder the terms: 4 + x + -8x = 5(x + 1) + -8 Combine like terms: x + -8x = -7x 4 + -7x = 5(x + 1) + -8 Reorder the terms: 4 + -7x = 5(1 + x) + -8 4 + -7x = (1 * 5 + x * 5) + -8 4 + -7x = (5 + 5x) + -8 Reorder the terms: 4 + -7x = 5 + -8 + 5x Combine like terms: 5 + -8 = -3 4 + -7x = -3 + 5x Solving 4 + -7x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -7x + -5x = -3 + 5x + -5x Combine like terms: -7x + -5x = -12x 4 + -12x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -12x = -3 + 0 4 + -12x = -3 Add '-4' to each side of the equation. 4 + -4 + -12x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -3 + -4 -12x = -3 + -4 Combine like terms: -3 + -4 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333
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