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Simplifying x + 7y = 5 + -1x + 2y + -13 Reorder the terms: x + 7y = 5 + -13 + -1x + 2y Combine like terms: 5 + -13 = -8 x + 7y = -8 + -1x + 2y Solving x + 7y = -8 + -1x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + x + 7y = -8 + -1x + x + 2y Combine like terms: x + x = 2x 2x + 7y = -8 + -1x + x + 2y Combine like terms: -1x + x = 0 2x + 7y = -8 + 0 + 2y 2x + 7y = -8 + 2y Add '-7y' to each side of the equation. 2x + 7y + -7y = -8 + 2y + -7y Combine like terms: 7y + -7y = 0 2x + 0 = -8 + 2y + -7y 2x = -8 + 2y + -7y Combine like terms: 2y + -7y = -5y 2x = -8 + -5y Divide each side by '2'. x = -4 + -2.5y Simplifying x = -4 + -2.5y
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