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Simplifying 6x + 9 = -71 + -10x Reorder the terms: 9 + 6x = -71 + -10x Solving 9 + 6x = -71 + -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 + 6x + 10x = -71 + -10x + 10x Combine like terms: 6x + 10x = 16x 9 + 16x = -71 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 16x = -71 + 0 9 + 16x = -71 Add '-9' to each side of the equation. 9 + -9 + 16x = -71 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = -71 + -9 16x = -71 + -9 Combine like terms: -71 + -9 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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