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Simplifying 4(2x + 1) = -5(5x + -1) + 4x Reorder the terms: 4(1 + 2x) = -5(5x + -1) + 4x (1 * 4 + 2x * 4) = -5(5x + -1) + 4x (4 + 8x) = -5(5x + -1) + 4x Reorder the terms: 4 + 8x = -5(-1 + 5x) + 4x 4 + 8x = (-1 * -5 + 5x * -5) + 4x 4 + 8x = (5 + -25x) + 4x Combine like terms: -25x + 4x = -21x 4 + 8x = 5 + -21x Solving 4 + 8x = 5 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 4 + 8x + 21x = 5 + -21x + 21x Combine like terms: 8x + 21x = 29x 4 + 29x = 5 + -21x + 21x Combine like terms: -21x + 21x = 0 4 + 29x = 5 + 0 4 + 29x = 5 Add '-4' to each side of the equation. 4 + -4 + 29x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 29x = 5 + -4 29x = 5 + -4 Combine like terms: 5 + -4 = 1 29x = 1 Divide each side by '29'. x = 0.03448275862 Simplifying x = 0.03448275862
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