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Simplifying 6(x + 30) = 204 Reorder the terms: 6(30 + x) = 204 (30 * 6 + x * 6) = 204 (180 + 6x) = 204 Solving 180 + 6x = 204 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + 6x = 204 + -180 Combine like terms: 180 + -180 = 0 0 + 6x = 204 + -180 6x = 204 + -180 Combine like terms: 204 + -180 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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