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Simplifying 3(2x + 3) = 1 + -3x Reorder the terms: 3(3 + 2x) = 1 + -3x (3 * 3 + 2x * 3) = 1 + -3x (9 + 6x) = 1 + -3x Solving 9 + 6x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 6x + 3x = 1 + -3x + 3x Combine like terms: 6x + 3x = 9x 9 + 9x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 9x = 1 + 0 9 + 9x = 1 Add '-9' to each side of the equation. 9 + -9 + 9x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 1 + -9 9x = 1 + -9 Combine like terms: 1 + -9 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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