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Simplifying 6(7x + 3) + -1(x + -1) = 0 Reorder the terms: 6(3 + 7x) + -1(x + -1) = 0 (3 * 6 + 7x * 6) + -1(x + -1) = 0 (18 + 42x) + -1(x + -1) = 0 Reorder the terms: 18 + 42x + -1(-1 + x) = 0 18 + 42x + (-1 * -1 + x * -1) = 0 18 + 42x + (1 + -1x) = 0 Reorder the terms: 18 + 1 + 42x + -1x = 0 Combine like terms: 18 + 1 = 19 19 + 42x + -1x = 0 Combine like terms: 42x + -1x = 41x 19 + 41x = 0 Solving 19 + 41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 41x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 41x = 0 + -19 41x = 0 + -19 Combine like terms: 0 + -19 = -19 41x = -19 Divide each side by '41'. x = -0.4634146341 Simplifying x = -0.4634146341
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