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Simplifying 2(x + 6) = 3x + -4n Reorder the terms: 2(6 + x) = 3x + -4n (6 * 2 + x * 2) = 3x + -4n (12 + 2x) = 3x + -4n Reorder the terms: 12 + 2x = -4n + 3x Solving 12 + 2x = -4n + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 2x + -3x = -4n + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -4n + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = -4n + 0 12 + -1x = -4n Add '-12' to each side of the equation. 12 + -12 + -1x = -12 + -4n Combine like terms: 12 + -12 = 0 0 + -1x = -12 + -4n -1x = -12 + -4n Divide each side by '-1'. x = 12 + 4n Simplifying x = 12 + 4n
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