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Simplifying 9(3x + 1) = 2x + -7x Reorder the terms: 9(1 + 3x) = 2x + -7x (1 * 9 + 3x * 9) = 2x + -7x (9 + 27x) = 2x + -7x Combine like terms: 2x + -7x = -5x 9 + 27x = -5x Solving 9 + 27x = -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. 9 + 27x + 5x = -5x + 5x Combine like terms: 27x + 5x = 32x 9 + 32x = -5x + 5x Combine like terms: -5x + 5x = 0 9 + 32x = 0 Add '-9' to each side of the equation. 9 + -9 + 32x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 32x = 0 + -9 32x = 0 + -9 Combine like terms: 0 + -9 = -9 32x = -9 Divide each side by '32'. x = -0.28125 Simplifying x = -0.28125
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