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Simplifying 40 + -8x + 5y = 50 + 9x + -7y Solving 40 + -8x + 5y = 50 + 9x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 40 + -8x + -9x + 5y = 50 + 9x + -9x + -7y Combine like terms: -8x + -9x = -17x 40 + -17x + 5y = 50 + 9x + -9x + -7y Combine like terms: 9x + -9x = 0 40 + -17x + 5y = 50 + 0 + -7y 40 + -17x + 5y = 50 + -7y Add '-40' to each side of the equation. 40 + -17x + -40 + 5y = 50 + -40 + -7y Reorder the terms: 40 + -40 + -17x + 5y = 50 + -40 + -7y Combine like terms: 40 + -40 = 0 0 + -17x + 5y = 50 + -40 + -7y -17x + 5y = 50 + -40 + -7y Combine like terms: 50 + -40 = 10 -17x + 5y = 10 + -7y Add '-5y' to each side of the equation. -17x + 5y + -5y = 10 + -7y + -5y Combine like terms: 5y + -5y = 0 -17x + 0 = 10 + -7y + -5y -17x = 10 + -7y + -5y Combine like terms: -7y + -5y = -12y -17x = 10 + -12y Divide each side by '-17'. x = -0.5882352941 + 0.7058823529y Simplifying x = -0.5882352941 + 0.7058823529y
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