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Simplifying 2(3x + 1) = 4 + -3x Reorder the terms: 2(1 + 3x) = 4 + -3x (1 * 2 + 3x * 2) = 4 + -3x (2 + 6x) = 4 + -3x Solving 2 + 6x = 4 + -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. 2 + 6x + 3x = 4 + -3x + 3x Combine like terms: 6x + 3x = 9x 2 + 9x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 9x = 4 + 0 2 + 9x = 4 Add '-2' to each side of the equation. 2 + -2 + 9x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 4 + -2 9x = 4 + -2 Combine like terms: 4 + -2 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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