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Simplifying 3(5x + 3) = 36 + 6x Reorder the terms: 3(3 + 5x) = 36 + 6x (3 * 3 + 5x * 3) = 36 + 6x (9 + 15x) = 36 + 6x Solving 9 + 15x = 36 + 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. 9 + 15x + -6x = 36 + 6x + -6x Combine like terms: 15x + -6x = 9x 9 + 9x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 9x = 36 + 0 9 + 9x = 36 Add '-9' to each side of the equation. 9 + -9 + 9x = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 36 + -9 9x = 36 + -9 Combine like terms: 36 + -9 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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