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Simplifying 5x + -2 + -3x = 2x + 7 + -1x Reorder the terms: -2 + 5x + -3x = 2x + 7 + -1x Combine like terms: 5x + -3x = 2x -2 + 2x = 2x + 7 + -1x Reorder the terms: -2 + 2x = 7 + 2x + -1x Combine like terms: 2x + -1x = 1x -2 + 2x = 7 + 1x Solving -2 + 2x = 7 + 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 + 2x + -1x = 7 + 1x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 1x = 7 + 0 -2 + 1x = 7 Add '2' to each side of the equation. -2 + 2 + 1x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 7 + 2 1x = 7 + 2 Combine like terms: 7 + 2 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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