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Simplifying 6(x + 3) = 12 + 4x Reorder the terms: 6(3 + x) = 12 + 4x (3 * 6 + x * 6) = 12 + 4x (18 + 6x) = 12 + 4x Solving 18 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = 12 + 0 18 + 2x = 12 Add '-18' to each side of the equation. 18 + -18 + 2x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 12 + -18 2x = 12 + -18 Combine like terms: 12 + -18 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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