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Simplifying 5(4x + 1) = 5x + -8x Reorder the terms: 5(1 + 4x) = 5x + -8x (1 * 5 + 4x * 5) = 5x + -8x (5 + 20x) = 5x + -8x Combine like terms: 5x + -8x = -3x 5 + 20x = -3x Solving 5 + 20x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 20x + 3x = -3x + 3x Combine like terms: 20x + 3x = 23x 5 + 23x = -3x + 3x Combine like terms: -3x + 3x = 0 5 + 23x = 0 Add '-5' to each side of the equation. 5 + -5 + 23x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 23x = 0 + -5 23x = 0 + -5 Combine like terms: 0 + -5 = -5 23x = -5 Divide each side by '23'. x = -0.2173913043 Simplifying x = -0.2173913043
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