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Simplifying 3(4x + 2) = 4(5x + 2) Reorder the terms: 3(2 + 4x) = 4(5x + 2) (2 * 3 + 4x * 3) = 4(5x + 2) (6 + 12x) = 4(5x + 2) Reorder the terms: 6 + 12x = 4(2 + 5x) 6 + 12x = (2 * 4 + 5x * 4) 6 + 12x = (8 + 20x) Solving 6 + 12x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 12x + -20x = 8 + 20x + -20x Combine like terms: 12x + -20x = -8x 6 + -8x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -8x = 8 + 0 6 + -8x = 8 Add '-6' to each side of the equation. 6 + -6 + -8x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 8 + -6 -8x = 8 + -6 Combine like terms: 8 + -6 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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