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Simplifying 3(2x + 4) = 6(5x + 2) Reorder the terms: 3(4 + 2x) = 6(5x + 2) (4 * 3 + 2x * 3) = 6(5x + 2) (12 + 6x) = 6(5x + 2) Reorder the terms: 12 + 6x = 6(2 + 5x) 12 + 6x = (2 * 6 + 5x * 6) 12 + 6x = (12 + 30x) Add '-12' to each side of the equation. 12 + -12 + 6x = 12 + -12 + 30x Combine like terms: 12 + -12 = 0 0 + 6x = 12 + -12 + 30x 6x = 12 + -12 + 30x Combine like terms: 12 + -12 = 0 6x = 0 + 30x 6x = 30x Solving 6x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 6x + -30x = 30x + -30x Combine like terms: 6x + -30x = -24x -24x = 30x + -30x Combine like terms: 30x + -30x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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