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Simplifying 5x + (2x + -2) = 7 + -2x Reorder the terms: 5x + (-2 + 2x) = 7 + -2x Remove parenthesis around (-2 + 2x) 5x + -2 + 2x = 7 + -2x Reorder the terms: -2 + 5x + 2x = 7 + -2x Combine like terms: 5x + 2x = 7x -2 + 7x = 7 + -2x Solving -2 + 7x = 7 + -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. -2 + 7x + 2x = 7 + -2x + 2x Combine like terms: 7x + 2x = 9x -2 + 9x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 9x = 7 + 0 -2 + 9x = 7 Add '2' to each side of the equation. -2 + 2 + 9x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 7 + 2 9x = 7 + 2 Combine like terms: 7 + 2 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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