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Simplifying 2 + -2x + 9 = 4x + -6 Reorder the terms: 2 + 9 + -2x = 4x + -6 Combine like terms: 2 + 9 = 11 11 + -2x = 4x + -6 Reorder the terms: 11 + -2x = -6 + 4x Solving 11 + -2x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + -2x + -4x = -6 + 4x + -4x Combine like terms: -2x + -4x = -6x 11 + -6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -6x = -6 + 0 11 + -6x = -6 Add '-11' to each side of the equation. 11 + -11 + -6x = -6 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = -6 + -11 -6x = -6 + -11 Combine like terms: -6 + -11 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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