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Simplifying 6x + 6(x + 5) = 480 Reorder the terms: 6x + 6(5 + x) = 480 6x + (5 * 6 + x * 6) = 480 6x + (30 + 6x) = 480 Reorder the terms: 30 + 6x + 6x = 480 Combine like terms: 6x + 6x = 12x 30 + 12x = 480 Solving 30 + 12x = 480 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12x = 480 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 480 + -30 12x = 480 + -30 Combine like terms: 480 + -30 = 450 12x = 450 Divide each side by '12'. x = 37.5 Simplifying x = 37.5
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