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Simplifying 3(x + 6) = 22 + 2x Reorder the terms: 3(6 + x) = 22 + 2x (6 * 3 + x * 3) = 22 + 2x (18 + 3x) = 22 + 2x Solving 18 + 3x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 3x + -2x = 22 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = 22 + 0 18 + 1x = 22 Add '-18' to each side of the equation. 18 + -18 + 1x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 22 + -18 1x = 22 + -18 Combine like terms: 22 + -18 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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