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Simplifying 5(x + -1y) + 36 = 14(x + -1y) (x * 5 + -1y * 5) + 36 = 14(x + -1y) (5x + -5y) + 36 = 14(x + -1y) Reorder the terms: 36 + 5x + -5y = 14(x + -1y) 36 + 5x + -5y = (x * 14 + -1y * 14) 36 + 5x + -5y = (14x + -14y) Solving 36 + 5x + -5y = 14x + -14y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 36 + 5x + -14x + -5y = 14x + -14x + -14y Combine like terms: 5x + -14x = -9x 36 + -9x + -5y = 14x + -14x + -14y Combine like terms: 14x + -14x = 0 36 + -9x + -5y = 0 + -14y 36 + -9x + -5y = -14y Add '-36' to each side of the equation. 36 + -9x + -36 + -5y = -36 + -14y Reorder the terms: 36 + -36 + -9x + -5y = -36 + -14y Combine like terms: 36 + -36 = 0 0 + -9x + -5y = -36 + -14y -9x + -5y = -36 + -14y Add '5y' to each side of the equation. -9x + -5y + 5y = -36 + -14y + 5y Combine like terms: -5y + 5y = 0 -9x + 0 = -36 + -14y + 5y -9x = -36 + -14y + 5y Combine like terms: -14y + 5y = -9y -9x = -36 + -9y Divide each side by '-9'. x = 4 + y Simplifying x = 4 + y
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