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Simplifying 12x + 15y = 14(x + y) 12x + 15y = (x * 14 + y * 14) 12x + 15y = (14x + 14y) Solving 12x + 15y = 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. 12x + -14x + 15y = 14x + -14x + 14y Combine like terms: 12x + -14x = -2x -2x + 15y = 14x + -14x + 14y Combine like terms: 14x + -14x = 0 -2x + 15y = 0 + 14y -2x + 15y = 14y Add '-15y' to each side of the equation. -2x + 15y + -15y = 14y + -15y Combine like terms: 15y + -15y = 0 -2x + 0 = 14y + -15y -2x = 14y + -15y Combine like terms: 14y + -15y = -1y -2x = -1y Divide each side by '-2'. x = 0.5y Simplifying x = 0.5y
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