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Simplifying x + 2y = 15 + -1x + -1y + 6 Reorder the terms: x + 2y = 15 + 6 + -1x + -1y Combine like terms: 15 + 6 = 21 x + 2y = 21 + -1x + -1y Solving x + 2y = 21 + -1x + -1y 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 + 2y = 21 + -1x + x + -1y Combine like terms: x + x = 2x 2x + 2y = 21 + -1x + x + -1y Combine like terms: -1x + x = 0 2x + 2y = 21 + 0 + -1y 2x + 2y = 21 + -1y Add '-2y' to each side of the equation. 2x + 2y + -2y = 21 + -1y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 21 + -1y + -2y 2x = 21 + -1y + -2y Combine like terms: -1y + -2y = -3y 2x = 21 + -3y Divide each side by '2'. x = 10.5 + -1.5y Simplifying x = 10.5 + -1.5y
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