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Simplifying 4(2 + 3x) + 5(2 + 6x) = 60 (2 * 4 + 3x * 4) + 5(2 + 6x) = 60 (8 + 12x) + 5(2 + 6x) = 60 8 + 12x + (2 * 5 + 6x * 5) = 60 8 + 12x + (10 + 30x) = 60 Reorder the terms: 8 + 10 + 12x + 30x = 60 Combine like terms: 8 + 10 = 18 18 + 12x + 30x = 60 Combine like terms: 12x + 30x = 42x 18 + 42x = 60 Solving 18 + 42x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 42x = 60 + -18 Combine like terms: 18 + -18 = 0 0 + 42x = 60 + -18 42x = 60 + -18 Combine like terms: 60 + -18 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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