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Simplifying x + -1(5x + -4) = 8x + 2 Reorder the terms: x + -1(-4 + 5x) = 8x + 2 x + (-4 * -1 + 5x * -1) = 8x + 2 x + (4 + -5x) = 8x + 2 Reorder the terms: 4 + x + -5x = 8x + 2 Combine like terms: x + -5x = -4x 4 + -4x = 8x + 2 Reorder the terms: 4 + -4x = 2 + 8x Solving 4 + -4x = 2 + 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. 4 + -4x + -8x = 2 + 8x + -8x Combine like terms: -4x + -8x = -12x 4 + -12x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -12x = 2 + 0 4 + -12x = 2 Add '-4' to each side of the equation. 4 + -4 + -12x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 2 + -4 -12x = 2 + -4 Combine like terms: 2 + -4 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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