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Simplifying 3(4x + 1) = -5(4x + -1) + -3x Reorder the terms: 3(1 + 4x) = -5(4x + -1) + -3x (1 * 3 + 4x * 3) = -5(4x + -1) + -3x (3 + 12x) = -5(4x + -1) + -3x Reorder the terms: 3 + 12x = -5(-1 + 4x) + -3x 3 + 12x = (-1 * -5 + 4x * -5) + -3x 3 + 12x = (5 + -20x) + -3x Combine like terms: -20x + -3x = -23x 3 + 12x = 5 + -23x Solving 3 + 12x = 5 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 3 + 12x + 23x = 5 + -23x + 23x Combine like terms: 12x + 23x = 35x 3 + 35x = 5 + -23x + 23x Combine like terms: -23x + 23x = 0 3 + 35x = 5 + 0 3 + 35x = 5 Add '-3' to each side of the equation. 3 + -3 + 35x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 35x = 5 + -3 35x = 5 + -3 Combine like terms: 5 + -3 = 2 35x = 2 Divide each side by '35'. x = 0.05714285714 Simplifying x = 0.05714285714
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