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