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Simplifying 7x + 2 = 10 + -1x Reorder the terms: 2 + 7x = 10 + -1x Solving 2 + 7x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 7x + x = 10 + -1x + x Combine like terms: 7x + x = 8x 2 + 8x = 10 + -1x + x Combine like terms: -1x + x = 0 2 + 8x = 10 + 0 2 + 8x = 10 Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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