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Simplifying 2x + -5 + 3x = 5x + 6x + 7 Reorder the terms: -5 + 2x + 3x = 5x + 6x + 7 Combine like terms: 2x + 3x = 5x -5 + 5x = 5x + 6x + 7 Reorder the terms: -5 + 5x = 7 + 5x + 6x Combine like terms: 5x + 6x = 11x -5 + 5x = 7 + 11x Solving -5 + 5x = 7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -5 + 5x + -11x = 7 + 11x + -11x Combine like terms: 5x + -11x = -6x -5 + -6x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 -5 + -6x = 7 + 0 -5 + -6x = 7 Add '5' to each side of the equation. -5 + 5 + -6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 7 + 5 -6x = 7 + 5 Combine like terms: 7 + 5 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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