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Simplifying 3(3x + 1) + -1(x + -1) = 6 Reorder the terms: 3(1 + 3x) + -1(x + -1) = 6 (1 * 3 + 3x * 3) + -1(x + -1) = 6 (3 + 9x) + -1(x + -1) = 6 Reorder the terms: 3 + 9x + -1(-1 + x) = 6 3 + 9x + (-1 * -1 + x * -1) = 6 3 + 9x + (1 + -1x) = 6 Reorder the terms: 3 + 1 + 9x + -1x = 6 Combine like terms: 3 + 1 = 4 4 + 9x + -1x = 6 Combine like terms: 9x + -1x = 8x 4 + 8x = 6 Solving 4 + 8x = 6 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 + 8x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 6 + -4 8x = 6 + -4 Combine like terms: 6 + -4 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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