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Simplifying 6(3x + 2) = 2(10x + 4) Reorder the terms: 6(2 + 3x) = 2(10x + 4) (2 * 6 + 3x * 6) = 2(10x + 4) (12 + 18x) = 2(10x + 4) Reorder the terms: 12 + 18x = 2(4 + 10x) 12 + 18x = (4 * 2 + 10x * 2) 12 + 18x = (8 + 20x) Solving 12 + 18x = 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. 12 + 18x + -20x = 8 + 20x + -20x Combine like terms: 18x + -20x = -2x 12 + -2x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -2x = 8 + 0 12 + -2x = 8 Add '-12' to each side of the equation. 12 + -12 + -2x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 8 + -12 -2x = 8 + -12 Combine like terms: 8 + -12 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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