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Simplifying 3(5x + 2) = 6(x + 4) Reorder the terms: 3(2 + 5x) = 6(x + 4) (2 * 3 + 5x * 3) = 6(x + 4) (6 + 15x) = 6(x + 4) Reorder the terms: 6 + 15x = 6(4 + x) 6 + 15x = (4 * 6 + x * 6) 6 + 15x = (24 + 6x) Solving 6 + 15x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 15x + -6x = 24 + 6x + -6x Combine like terms: 15x + -6x = 9x 6 + 9x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 9x = 24 + 0 6 + 9x = 24 Add '-6' to each side of the equation. 6 + -6 + 9x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 24 + -6 9x = 24 + -6 Combine like terms: 24 + -6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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