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Simplifying 3(3x + 2) + -8 = 2x + 30 Reorder the terms: 3(2 + 3x) + -8 = 2x + 30 (2 * 3 + 3x * 3) + -8 = 2x + 30 (6 + 9x) + -8 = 2x + 30 Reorder the terms: 6 + -8 + 9x = 2x + 30 Combine like terms: 6 + -8 = -2 -2 + 9x = 2x + 30 Reorder the terms: -2 + 9x = 30 + 2x Solving -2 + 9x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 9x + -2x = 30 + 2x + -2x Combine like terms: 9x + -2x = 7x -2 + 7x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 7x = 30 + 0 -2 + 7x = 30 Add '2' to each side of the equation. -2 + 2 + 7x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 30 + 2 7x = 30 + 2 Combine like terms: 30 + 2 = 32 7x = 32 Divide each side by '7'. x = 4.571428571 Simplifying x = 4.571428571
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