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Simplifying 5x + 9 = -6 + -10x Reorder the terms: 9 + 5x = -6 + -10x Solving 9 + 5x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 5x + 10x = -6 + -10x + 10x Combine like terms: 5x + 10x = 15x 9 + 15x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 15x = -6 + 0 9 + 15x = -6 Add '-9' to each side of the equation. 9 + -9 + 15x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = -6 + -9 15x = -6 + -9 Combine like terms: -6 + -9 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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