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