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Simplifying 40.50 + 4x + -3y = 37.50 + 5x + 2y Solving 40.50 + 4x + -3y = 37.50 + 5x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40.50 + 4x + -5x + -3y = 37.50 + 5x + -5x + 2y Combine like terms: 4x + -5x = -1x 40.50 + -1x + -3y = 37.50 + 5x + -5x + 2y Combine like terms: 5x + -5x = 0 40.50 + -1x + -3y = 37.50 + 0 + 2y 40.50 + -1x + -3y = 37.50 + 2y Add '-40.50' to each side of the equation. 40.50 + -1x + -40.50 + -3y = 37.50 + -40.50 + 2y Reorder the terms: 40.50 + -40.50 + -1x + -3y = 37.50 + -40.50 + 2y Combine like terms: 40.50 + -40.50 = 0.00 0.00 + -1x + -3y = 37.50 + -40.50 + 2y -1x + -3y = 37.50 + -40.50 + 2y Combine like terms: 37.50 + -40.50 = -3 -1x + -3y = -3 + 2y Add '3y' to each side of the equation. -1x + -3y + 3y = -3 + 2y + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = -3 + 2y + 3y -1x = -3 + 2y + 3y Combine like terms: 2y + 3y = 5y -1x = -3 + 5y Divide each side by '-1'. x = 3 + -5y Simplifying x = 3 + -5y
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