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Simplifying 5(3x + 1) + -1x + 6 = 0 Reorder the terms: 5(1 + 3x) + -1x + 6 = 0 (1 * 5 + 3x * 5) + -1x + 6 = 0 (5 + 15x) + -1x + 6 = 0 Reorder the terms: 5 + 6 + 15x + -1x = 0 Combine like terms: 5 + 6 = 11 11 + 15x + -1x = 0 Combine like terms: 15x + -1x = 14x 11 + 14x = 0 Solving 11 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 0 + -11 14x = 0 + -11 Combine like terms: 0 + -11 = -11 14x = -11 Divide each side by '14'. x = -0.7857142857 Simplifying x = -0.7857142857
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