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Simplifying 10x + -6 = 7x + 9 Reorder the terms: -6 + 10x = 7x + 9 Reorder the terms: -6 + 10x = 9 + 7x Solving -6 + 10x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 10x + -7x = 9 + 7x + -7x Combine like terms: 10x + -7x = 3x -6 + 3x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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