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Simplifying 6x + 2 + -9x = 7 + 2x Reorder the terms: 2 + 6x + -9x = 7 + 2x Combine like terms: 6x + -9x = -3x 2 + -3x = 7 + 2x Solving 2 + -3x = 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 + -3x + -2x = 7 + 2x + -2x Combine like terms: -3x + -2x = -5x 2 + -5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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