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Simplifying 4(6x + 6) + 6(2x + 10) = 96 Reorder the terms: 4(6 + 6x) + 6(2x + 10) = 96 (6 * 4 + 6x * 4) + 6(2x + 10) = 96 (24 + 24x) + 6(2x + 10) = 96 Reorder the terms: 24 + 24x + 6(10 + 2x) = 96 24 + 24x + (10 * 6 + 2x * 6) = 96 24 + 24x + (60 + 12x) = 96 Reorder the terms: 24 + 60 + 24x + 12x = 96 Combine like terms: 24 + 60 = 84 84 + 24x + 12x = 96 Combine like terms: 24x + 12x = 36x 84 + 36x = 96 Solving 84 + 36x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 36x = 96 + -84 Combine like terms: 84 + -84 = 0 0 + 36x = 96 + -84 36x = 96 + -84 Combine like terms: 96 + -84 = 12 36x = 12 Divide each side by '36'. x = 0.3333333333 Simplifying x = 0.3333333333
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