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