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Simplifying 3(5x + 2) = -4(3x + -4) Reorder the terms: 3(2 + 5x) = -4(3x + -4) (2 * 3 + 5x * 3) = -4(3x + -4) (6 + 15x) = -4(3x + -4) Reorder the terms: 6 + 15x = -4(-4 + 3x) 6 + 15x = (-4 * -4 + 3x * -4) 6 + 15x = (16 + -12x) Solving 6 + 15x = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + 15x + 12x = 16 + -12x + 12x Combine like terms: 15x + 12x = 27x 6 + 27x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 27x = 16 + 0 6 + 27x = 16 Add '-6' to each side of the equation. 6 + -6 + 27x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 27x = 16 + -6 27x = 16 + -6 Combine like terms: 16 + -6 = 10 27x = 10 Divide each side by '27'. x = 0.3703703704 Simplifying x = 0.3703703704
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