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Simplifying 4(5x + -1) = 2(4x + -1) Reorder the terms: 4(-1 + 5x) = 2(4x + -1) (-1 * 4 + 5x * 4) = 2(4x + -1) (-4 + 20x) = 2(4x + -1) Reorder the terms: -4 + 20x = 2(-1 + 4x) -4 + 20x = (-1 * 2 + 4x * 2) -4 + 20x = (-2 + 8x) Solving -4 + 20x = -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 + 20x + -8x = -2 + 8x + -8x Combine like terms: 20x + -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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