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Simplifying 5x + 15y = 7x + -14y Solving 5x + 15y = 7x + -14y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x + 15y = 7x + -7x + -14y Combine like terms: 5x + -7x = -2x -2x + 15y = 7x + -7x + -14y Combine like terms: 7x + -7x = 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 = -29y -2x = -29y Divide each side by '-2'. x = 14.5y Simplifying x = 14.5y
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