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Simplifying 6(2x + 3) = 2(3x + 3) Reorder the terms: 6(3 + 2x) = 2(3x + 3) (3 * 6 + 2x * 6) = 2(3x + 3) (18 + 12x) = 2(3x + 3) Reorder the terms: 18 + 12x = 2(3 + 3x) 18 + 12x = (3 * 2 + 3x * 2) 18 + 12x = (6 + 6x) Solving 18 + 12x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x 18 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 6x = 6 + 0 18 + 6x = 6 Add '-18' to each side of the equation. 18 + -18 + 6x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 6 + -18 6x = 6 + -18 Combine like terms: 6 + -18 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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