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Simplifying 2(6x + 2) = 3(3x + -3) Reorder the terms: 2(2 + 6x) = 3(3x + -3) (2 * 2 + 6x * 2) = 3(3x + -3) (4 + 12x) = 3(3x + -3) Reorder the terms: 4 + 12x = 3(-3 + 3x) 4 + 12x = (-3 * 3 + 3x * 3) 4 + 12x = (-9 + 9x) Solving 4 + 12x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 12x + -9x = -9 + 9x + -9x Combine like terms: 12x + -9x = 3x 4 + 3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 3x = -9 + 0 4 + 3x = -9 Add '-4' to each side of the equation. 4 + -4 + 3x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -9 + -4 3x = -9 + -4 Combine like terms: -9 + -4 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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