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Simplifying 4(3x + 6) = 30 + 9x Reorder the terms: 4(6 + 3x) = 30 + 9x (6 * 4 + 3x * 4) = 30 + 9x (24 + 12x) = 30 + 9x Solving 24 + 12x = 30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 12x + -9x = 30 + 9x + -9x Combine like terms: 12x + -9x = 3x 24 + 3x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 3x = 30 + 0 24 + 3x = 30 Add '-24' to each side of the equation. 24 + -24 + 3x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 30 + -24 3x = 30 + -24 Combine like terms: 30 + -24 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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