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Simplifying 3(2x + 2) = 6(2x + 1) Reorder the terms: 3(2 + 2x) = 6(2x + 1) (2 * 3 + 2x * 3) = 6(2x + 1) (6 + 6x) = 6(2x + 1) Reorder the terms: 6 + 6x = 6(1 + 2x) 6 + 6x = (1 * 6 + 2x * 6) 6 + 6x = (6 + 12x) Add '-6' to each side of the equation. 6 + -6 + 6x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 0 + 6x = 6 + -6 + 12x 6x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 6x = 0 + 12x 6x = 12x Solving 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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