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Simplifying 6(5x + 2) + -3(7x + -1) = 0 Reorder the terms: 6(2 + 5x) + -3(7x + -1) = 0 (2 * 6 + 5x * 6) + -3(7x + -1) = 0 (12 + 30x) + -3(7x + -1) = 0 Reorder the terms: 12 + 30x + -3(-1 + 7x) = 0 12 + 30x + (-1 * -3 + 7x * -3) = 0 12 + 30x + (3 + -21x) = 0 Reorder the terms: 12 + 3 + 30x + -21x = 0 Combine like terms: 12 + 3 = 15 15 + 30x + -21x = 0 Combine like terms: 30x + -21x = 9x 15 + 9x = 0 Solving 15 + 9x = 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 + 9x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 0 + -15 9x = 0 + -15 Combine like terms: 0 + -15 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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