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Simplifying x + 9 = -6x + 5 Reorder the terms: 9 + x = -6x + 5 Reorder the terms: 9 + x = 5 + -6x Solving 9 + x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + x + 6x = 5 + -6x + 6x Combine like terms: x + 6x = 7x 9 + 7x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 7x = 5 + 0 9 + 7x = 5 Add '-9' to each side of the equation. 9 + -9 + 7x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 5 + -9 7x = 5 + -9 Combine like terms: 5 + -9 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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