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Simplifying 3(3x + 2) = 4x + 1 Reorder the terms: 3(2 + 3x) = 4x + 1 (2 * 3 + 3x * 3) = 4x + 1 (6 + 9x) = 4x + 1 Reorder the terms: 6 + 9x = 1 + 4x Solving 6 + 9x = 1 + 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 = 1 + 4x + -4x Combine like terms: 9x + -4x = 5x 6 + 5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 5x = 1 + 0 6 + 5x = 1 Add '-6' to each side of the equation. 6 + -6 + 5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 1 + -6 5x = 1 + -6 Combine like terms: 1 + -6 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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