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Simplifying 2(3x + -1) + 3(x + 2) = 1 Reorder the terms: 2(-1 + 3x) + 3(x + 2) = 1 (-1 * 2 + 3x * 2) + 3(x + 2) = 1 (-2 + 6x) + 3(x + 2) = 1 Reorder the terms: -2 + 6x + 3(2 + x) = 1 -2 + 6x + (2 * 3 + x * 3) = 1 -2 + 6x + (6 + 3x) = 1 Reorder the terms: -2 + 6 + 6x + 3x = 1 Combine like terms: -2 + 6 = 4 4 + 6x + 3x = 1 Combine like terms: 6x + 3x = 9x 4 + 9x = 1 Solving 4 + 9x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 1 + -4 9x = 1 + -4 Combine like terms: 1 + -4 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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