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Simplifying 6x + -9 + 7x = 10x + 15 Reorder the terms: -9 + 6x + 7x = 10x + 15 Combine like terms: 6x + 7x = 13x -9 + 13x = 10x + 15 Reorder the terms: -9 + 13x = 15 + 10x Solving -9 + 13x = 15 + 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 + 13x + -10x = 15 + 10x + -10x Combine like terms: 13x + -10x = 3x -9 + 3x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 3x = 15 + 0 -9 + 3x = 15 Add '9' to each side of the equation. -9 + 9 + 3x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 15 + 9 3x = 15 + 9 Combine like terms: 15 + 9 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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