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Simplifying 3x + 7x + 9 = 2x + 6x + -1 Reorder the terms: 9 + 3x + 7x = 2x + 6x + -1 Combine like terms: 3x + 7x = 10x 9 + 10x = 2x + 6x + -1 Reorder the terms: 9 + 10x = -1 + 2x + 6x Combine like terms: 2x + 6x = 8x 9 + 10x = -1 + 8x Solving 9 + 10x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 10x + -8x = -1 + 8x + -8x Combine like terms: 10x + -8x = 2x 9 + 2x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 2x = -1 + 0 9 + 2x = -1 Add '-9' to each side of the equation. 9 + -9 + 2x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -1 + -9 2x = -1 + -9 Combine like terms: -1 + -9 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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