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Simplifying 7(x + 6) + -34 = 0 Reorder the terms: 7(6 + x) + -34 = 0 (6 * 7 + x * 7) + -34 = 0 (42 + 7x) + -34 = 0 Reorder the terms: 42 + -34 + 7x = 0 Combine like terms: 42 + -34 = 8 8 + 7x = 0 Solving 8 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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