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Simplifying 7x + 2 + -9x = 6 + 2x Reorder the terms: 2 + 7x + -9x = 6 + 2x Combine like terms: 7x + -9x = -2x 2 + -2x = 6 + 2x Solving 2 + -2x = 6 + 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 + -2x + -2x = 6 + 2x + -2x Combine like terms: -2x + -2x = -4x 2 + -4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -4x = 6 + 0 2 + -4x = 6 Add '-2' to each side of the equation. 2 + -2 + -4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 6 + -2 -4x = 6 + -2 Combine like terms: 6 + -2 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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