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Simplifying 4(5x + 1) = 2x + -7x Reorder the terms: 4(1 + 5x) = 2x + -7x (1 * 4 + 5x * 4) = 2x + -7x (4 + 20x) = 2x + -7x Combine like terms: 2x + -7x = -5x 4 + 20x = -5x Solving 4 + 20x = -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 = -5x + 5x Combine like terms: 20x + 5x = 25x 4 + 25x = -5x + 5x Combine like terms: -5x + 5x = 0 4 + 25x = 0 Add '-4' to each side of the equation. 4 + -4 + 25x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 25x = 0 + -4 25x = 0 + -4 Combine like terms: 0 + -4 = -4 25x = -4 Divide each side by '25'. x = -0.16 Simplifying x = -0.16
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