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Simplifying 3(4x + 2) = -5(3x + -2) Reorder the terms: 3(2 + 4x) = -5(3x + -2) (2 * 3 + 4x * 3) = -5(3x + -2) (6 + 12x) = -5(3x + -2) Reorder the terms: 6 + 12x = -5(-2 + 3x) 6 + 12x = (-2 * -5 + 3x * -5) 6 + 12x = (10 + -15x) Solving 6 + 12x = 10 + -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. 6 + 12x + 15x = 10 + -15x + 15x Combine like terms: 12x + 15x = 27x 6 + 27x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 27x = 10 + 0 6 + 27x = 10 Add '-6' to each side of the equation. 6 + -6 + 27x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 27x = 10 + -6 27x = 10 + -6 Combine like terms: 10 + -6 = 4 27x = 4 Divide each side by '27'. x = 0.1481481481 Simplifying x = 0.1481481481
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