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Simplifying 5x + 2y + 2 = 11x + 8 Reorder the terms: 2 + 5x + 2y = 11x + 8 Reorder the terms: 2 + 5x + 2y = 8 + 11x Solving 2 + 5x + 2y = 8 + 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. 2 + 5x + -11x + 2y = 8 + 11x + -11x Combine like terms: 5x + -11x = -6x 2 + -6x + 2y = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + -6x + 2y = 8 + 0 2 + -6x + 2y = 8 Add '-2' to each side of the equation. 2 + -6x + -2 + 2y = 8 + -2 Reorder the terms: 2 + -2 + -6x + 2y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6x + 2y = 8 + -2 -6x + 2y = 8 + -2 Combine like terms: 8 + -2 = 6 -6x + 2y = 6 Add '-2y' to each side of the equation. -6x + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = 6 + -2y -6x = 6 + -2y Divide each side by '-6'. x = -1 + 0.3333333333y Simplifying x = -1 + 0.3333333333y
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