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Simplifying 3(x + 6) = 6 + 4x Reorder the terms: 3(6 + x) = 6 + 4x (6 * 3 + x * 3) = 6 + 4x (18 + 3x) = 6 + 4x Solving 18 + 3x = 6 + 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 + 3x + -4x = 6 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = 6 + 0 18 + -1x = 6 Add '-18' to each side of the equation. 18 + -18 + -1x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 6 + -18 -1x = 6 + -18 Combine like terms: 6 + -18 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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