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Simplifying 5x + 2y + 7 = 11x + 15 Reorder the terms: 7 + 5x + 2y = 11x + 15 Reorder the terms: 7 + 5x + 2y = 15 + 11x Solving 7 + 5x + 2y = 15 + 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. 7 + 5x + -11x + 2y = 15 + 11x + -11x Combine like terms: 5x + -11x = -6x 7 + -6x + 2y = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -6x + 2y = 15 + 0 7 + -6x + 2y = 15 Add '-7' to each side of the equation. 7 + -6x + -7 + 2y = 15 + -7 Reorder the terms: 7 + -7 + -6x + 2y = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -6x + 2y = 15 + -7 -6x + 2y = 15 + -7 Combine like terms: 15 + -7 = 8 -6x + 2y = 8 Add '-2y' to each side of the equation. -6x + 2y + -2y = 8 + -2y Combine like terms: 2y + -2y = 0 -6x + 0 = 8 + -2y -6x = 8 + -2y Divide each side by '-6'. x = -1.333333333 + 0.3333333333y Simplifying x = -1.333333333 + 0.3333333333y
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