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Simplifying 3(3x + 1) = 5x + -7x Reorder the terms: 3(1 + 3x) = 5x + -7x (1 * 3 + 3x * 3) = 5x + -7x (3 + 9x) = 5x + -7x Combine like terms: 5x + -7x = -2x 3 + 9x = -2x Solving 3 + 9x = -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. 3 + 9x + 2x = -2x + 2x Combine like terms: 9x + 2x = 11x 3 + 11x = -2x + 2x Combine like terms: -2x + 2x = 0 3 + 11x = 0 Add '-3' to each side of the equation. 3 + -3 + 11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 0 + -3 11x = 0 + -3 Combine like terms: 0 + -3 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727
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