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Simplifying 2x + 3y = 5x + 1.5y Solving 2x + 3y = 5x + 1.5y 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. 2x + -5x + 3y = 5x + -5x + 1.5y Combine like terms: 2x + -5x = -3x -3x + 3y = 5x + -5x + 1.5y Combine like terms: 5x + -5x = 0 -3x + 3y = 0 + 1.5y -3x + 3y = 1.5y Add '-3y' to each side of the equation. -3x + 3y + -3y = 1.5y + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 1.5y + -3y -3x = 1.5y + -3y Combine like terms: 1.5y + -3y = -1.5y -3x = -1.5y Divide each side by '-3'. x = 0.5y Simplifying x = 0.5y
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