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Simplifying 3(3x + 1) = 4x + -9x Reorder the terms: 3(1 + 3x) = 4x + -9x (1 * 3 + 3x * 3) = 4x + -9x (3 + 9x) = 4x + -9x Combine like terms: 4x + -9x = -5x 3 + 9x = -5x Solving 3 + 9x = -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. 3 + 9x + 5x = -5x + 5x Combine like terms: 9x + 5x = 14x 3 + 14x = -5x + 5x Combine like terms: -5x + 5x = 0 3 + 14x = 0 Add '-3' to each side of the equation. 3 + -3 + 14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 0 + -3 14x = 0 + -3 Combine like terms: 0 + -3 = -3 14x = -3 Divide each side by '14'. x = -0.2142857143 Simplifying x = -0.2142857143
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