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Simplifying 4(5x + 1) = 3 + -1(5x + -5) Reorder the terms: 4(1 + 5x) = 3 + -1(5x + -5) (1 * 4 + 5x * 4) = 3 + -1(5x + -5) (4 + 20x) = 3 + -1(5x + -5) Reorder the terms: 4 + 20x = 3 + -1(-5 + 5x) 4 + 20x = 3 + (-5 * -1 + 5x * -1) 4 + 20x = 3 + (5 + -5x) Combine like terms: 3 + 5 = 8 4 + 20x = 8 + -5x Solving 4 + 20x = 8 + -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 + 20x + 5x = 8 + -5x + 5x Combine like terms: 20x + 5x = 25x 4 + 25x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 25x = 8 + 0 4 + 25x = 8 Add '-4' to each side of the equation. 4 + -4 + 25x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 25x = 8 + -4 25x = 8 + -4 Combine like terms: 8 + -4 = 4 25x = 4 Divide each side by '25'. x = 0.16 Simplifying x = 0.16
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