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Simplifying x + -6 + -7(x + -5) + 5(6x + 1) = 0 Reorder the terms: x + -6 + -7(-5 + x) + 5(6x + 1) = 0 x + -6 + (-5 * -7 + x * -7) + 5(6x + 1) = 0 x + -6 + (35 + -7x) + 5(6x + 1) = 0 Reorder the terms: x + -6 + 35 + -7x + 5(1 + 6x) = 0 x + -6 + 35 + -7x + (1 * 5 + 6x * 5) = 0 x + -6 + 35 + -7x + (5 + 30x) = 0 Reorder the terms: -6 + 35 + 5 + x + -7x + 30x = 0 Combine like terms: -6 + 35 = 29 29 + 5 + x + -7x + 30x = 0 Combine like terms: 29 + 5 = 34 34 + x + -7x + 30x = 0 Combine like terms: x + -7x = -6x 34 + -6x + 30x = 0 Combine like terms: -6x + 30x = 24x 34 + 24x = 0 Solving 34 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 24x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 24x = 0 + -34 24x = 0 + -34 Combine like terms: 0 + -34 = -34 24x = -34 Divide each side by '24'. x = -1.416666667 Simplifying x = -1.416666667
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