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Simplifying 3(3x + 1) + -2(2x + 3) = 6 Reorder the terms: 3(1 + 3x) + -2(2x + 3) = 6 (1 * 3 + 3x * 3) + -2(2x + 3) = 6 (3 + 9x) + -2(2x + 3) = 6 Reorder the terms: 3 + 9x + -2(3 + 2x) = 6 3 + 9x + (3 * -2 + 2x * -2) = 6 3 + 9x + (-6 + -4x) = 6 Reorder the terms: 3 + -6 + 9x + -4x = 6 Combine like terms: 3 + -6 = -3 -3 + 9x + -4x = 6 Combine like terms: 9x + -4x = 5x -3 + 5x = 6 Solving -3 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 6 + 3 5x = 6 + 3 Combine like terms: 6 + 3 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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