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Simplifying 3(4x + 2) = 5(2x + -3) Reorder the terms: 3(2 + 4x) = 5(2x + -3) (2 * 3 + 4x * 3) = 5(2x + -3) (6 + 12x) = 5(2x + -3) Reorder the terms: 6 + 12x = 5(-3 + 2x) 6 + 12x = (-3 * 5 + 2x * 5) 6 + 12x = (-15 + 10x) Solving 6 + 12x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 12x + -10x = -15 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = -15 + 0 6 + 2x = -15 Add '-6' to each side of the equation. 6 + -6 + 2x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -15 + -6 2x = -15 + -6 Combine like terms: -15 + -6 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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