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Simplifying 4(5x + 1) = -5(3x + -3) Reorder the terms: 4(1 + 5x) = -5(3x + -3) (1 * 4 + 5x * 4) = -5(3x + -3) (4 + 20x) = -5(3x + -3) Reorder the terms: 4 + 20x = -5(-3 + 3x) 4 + 20x = (-3 * -5 + 3x * -5) 4 + 20x = (15 + -15x) Solving 4 + 20x = 15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 4 + 20x + 15x = 15 + -15x + 15x Combine like terms: 20x + 15x = 35x 4 + 35x = 15 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 35x = 15 + 0 4 + 35x = 15 Add '-4' to each side of the equation. 4 + -4 + 35x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 35x = 15 + -4 35x = 15 + -4 Combine like terms: 15 + -4 = 11 35x = 11 Divide each side by '35'. x = 0.3142857143 Simplifying x = 0.3142857143
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