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Simplifying 2x + 5x + -5 = 6x + -9 + -1x Reorder the terms: -5 + 2x + 5x = 6x + -9 + -1x Combine like terms: 2x + 5x = 7x -5 + 7x = 6x + -9 + -1x Reorder the terms: -5 + 7x = -9 + 6x + -1x Combine like terms: 6x + -1x = 5x -5 + 7x = -9 + 5x Solving -5 + 7x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 7x + -5x = -9 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = -9 + 0 -5 + 2x = -9 Add '5' to each side of the equation. -5 + 5 + 2x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -9 + 5 2x = -9 + 5 Combine like terms: -9 + 5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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