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Simplifying 3(3x + 2) = 5x + 30 Reorder the terms: 3(2 + 3x) = 5x + 30 (2 * 3 + 3x * 3) = 5x + 30 (6 + 9x) = 5x + 30 Reorder the terms: 6 + 9x = 30 + 5x Solving 6 + 9x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 9x + -5x = 30 + 5x + -5x Combine like terms: 9x + -5x = 4x 6 + 4x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 4x = 30 + 0 6 + 4x = 30 Add '-6' to each side of the equation. 6 + -6 + 4x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 30 + -6 4x = 30 + -6 Combine like terms: 30 + -6 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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