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Simplifying 3(4x + 6) = 75 + -9x Reorder the terms: 3(6 + 4x) = 75 + -9x (6 * 3 + 4x * 3) = 75 + -9x (18 + 12x) = 75 + -9x Solving 18 + 12x = 75 + -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. 18 + 12x + 9x = 75 + -9x + 9x Combine like terms: 12x + 9x = 21x 18 + 21x = 75 + -9x + 9x Combine like terms: -9x + 9x = 0 18 + 21x = 75 + 0 18 + 21x = 75 Add '-18' to each side of the equation. 18 + -18 + 21x = 75 + -18 Combine like terms: 18 + -18 = 0 0 + 21x = 75 + -18 21x = 75 + -18 Combine like terms: 75 + -18 = 57 21x = 57 Divide each side by '21'. x = 2.714285714 Simplifying x = 2.714285714
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