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Simplifying 7x + -2 = 3x + 10 + -2x Reorder the terms: -2 + 7x = 3x + 10 + -2x Reorder the terms: -2 + 7x = 10 + 3x + -2x Combine like terms: 3x + -2x = 1x -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 '-1x' to each side of the equation. -2 + 7x + -1x = 10 + 1x + -1x Combine like terms: 7x + -1x = 6x -2 + 6x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 6x = 10 + 0 -2 + 6x = 10 Add '2' to each side of the equation. -2 + 2 + 6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 10 + 2 6x = 10 + 2 Combine like terms: 10 + 2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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