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Simplifying 3(2x + 1) + -1(x + -1) = 1 Reorder the terms: 3(1 + 2x) + -1(x + -1) = 1 (1 * 3 + 2x * 3) + -1(x + -1) = 1 (3 + 6x) + -1(x + -1) = 1 Reorder the terms: 3 + 6x + -1(-1 + x) = 1 3 + 6x + (-1 * -1 + x * -1) = 1 3 + 6x + (1 + -1x) = 1 Reorder the terms: 3 + 1 + 6x + -1x = 1 Combine like terms: 3 + 1 = 4 4 + 6x + -1x = 1 Combine like terms: 6x + -1x = 5x 4 + 5x = 1 Solving 4 + 5x = 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 + 5x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 1 + -4 5x = 1 + -4 Combine like terms: 1 + -4 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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