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Simplifying 4(3x + 1) = -5(3x + -4) Reorder the terms: 4(1 + 3x) = -5(3x + -4) (1 * 4 + 3x * 4) = -5(3x + -4) (4 + 12x) = -5(3x + -4) Reorder the terms: 4 + 12x = -5(-4 + 3x) 4 + 12x = (-4 * -5 + 3x * -5) 4 + 12x = (20 + -15x) Solving 4 + 12x = 20 + -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 + 12x + 15x = 20 + -15x + 15x Combine like terms: 12x + 15x = 27x 4 + 27x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 27x = 20 + 0 4 + 27x = 20 Add '-4' to each side of the equation. 4 + -4 + 27x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = 20 + -4 27x = 20 + -4 Combine like terms: 20 + -4 = 16 27x = 16 Divide each side by '27'. x = 0.5925925926 Simplifying x = 0.5925925926
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