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Simplifying 6(3x + 2) = 4(5x + 6) Reorder the terms: 6(2 + 3x) = 4(5x + 6) (2 * 6 + 3x * 6) = 4(5x + 6) (12 + 18x) = 4(5x + 6) Reorder the terms: 12 + 18x = 4(6 + 5x) 12 + 18x = (6 * 4 + 5x * 4) 12 + 18x = (24 + 20x) Solving 12 + 18x = 24 + 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. 12 + 18x + -20x = 24 + 20x + -20x Combine like terms: 18x + -20x = -2x 12 + -2x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -2x = 24 + 0 12 + -2x = 24 Add '-12' to each side of the equation. 12 + -12 + -2x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 24 + -12 -2x = 24 + -12 Combine like terms: 24 + -12 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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