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Simplifying 7x + -2 + 3x + -7 = 9x + 1 Reorder the terms: -2 + -7 + 7x + 3x = 9x + 1 Combine like terms: -2 + -7 = -9 -9 + 7x + 3x = 9x + 1 Combine like terms: 7x + 3x = 10x -9 + 10x = 9x + 1 Reorder the terms: -9 + 10x = 1 + 9x Solving -9 + 10x = 1 + 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. -9 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x -9 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + 1x = 1 + 0 -9 + 1x = 1 Add '9' to each side of the equation. -9 + 9 + 1x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 1 + 9 1x = 1 + 9 Combine like terms: 1 + 9 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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