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Simplifying 3(5x + 6) = 48 + 12x Reorder the terms: 3(6 + 5x) = 48 + 12x (6 * 3 + 5x * 3) = 48 + 12x (18 + 15x) = 48 + 12x Solving 18 + 15x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 15x + -12x = 48 + 12x + -12x Combine like terms: 15x + -12x = 3x 18 + 3x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + 3x = 48 + 0 18 + 3x = 48 Add '-18' to each side of the equation. 18 + -18 + 3x = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 48 + -18 3x = 48 + -18 Combine like terms: 48 + -18 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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