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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 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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