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Simplifying -4(5x + -1) = 8 + -1(x + 2) Reorder the terms: -4(-1 + 5x) = 8 + -1(x + 2) (-1 * -4 + 5x * -4) = 8 + -1(x + 2) (4 + -20x) = 8 + -1(x + 2) Reorder the terms: 4 + -20x = 8 + -1(2 + x) 4 + -20x = 8 + (2 * -1 + x * -1) 4 + -20x = 8 + (-2 + -1x) Combine like terms: 8 + -2 = 6 4 + -20x = 6 + -1x Solving 4 + -20x = 6 + -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. 4 + -20x + x = 6 + -1x + x Combine like terms: -20x + x = -19x 4 + -19x = 6 + -1x + x Combine like terms: -1x + x = 0 4 + -19x = 6 + 0 4 + -19x = 6 Add '-4' to each side of the equation. 4 + -4 + -19x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -19x = 6 + -4 -19x = 6 + -4 Combine like terms: 6 + -4 = 2 -19x = 2 Divide each side by '-19'. x = -0.1052631579 Simplifying x = -0.1052631579
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