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Simplifying 6(7x + 2) + -1(x + -3) = 0 Reorder the terms: 6(2 + 7x) + -1(x + -3) = 0 (2 * 6 + 7x * 6) + -1(x + -3) = 0 (12 + 42x) + -1(x + -3) = 0 Reorder the terms: 12 + 42x + -1(-3 + x) = 0 12 + 42x + (-3 * -1 + x * -1) = 0 12 + 42x + (3 + -1x) = 0 Reorder the terms: 12 + 3 + 42x + -1x = 0 Combine like terms: 12 + 3 = 15 15 + 42x + -1x = 0 Combine like terms: 42x + -1x = 41x 15 + 41x = 0 Solving 15 + 41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 41x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 41x = 0 + -15 41x = 0 + -15 Combine like terms: 0 + -15 = -15 41x = -15 Divide each side by '41'. x = -0.3658536585 Simplifying x = -0.3658536585
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