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Simplifying 5x + 3y + -120 = 3x + 2y Reorder the terms: -120 + 5x + 3y = 3x + 2y Solving -120 + 5x + 3y = 3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -120 + 5x + -3x + 3y = 3x + -3x + 2y Combine like terms: 5x + -3x = 2x -120 + 2x + 3y = 3x + -3x + 2y Combine like terms: 3x + -3x = 0 -120 + 2x + 3y = 0 + 2y -120 + 2x + 3y = 2y Add '120' to each side of the equation. -120 + 2x + 120 + 3y = 120 + 2y Reorder the terms: -120 + 120 + 2x + 3y = 120 + 2y Combine like terms: -120 + 120 = 0 0 + 2x + 3y = 120 + 2y 2x + 3y = 120 + 2y Add '-3y' to each side of the equation. 2x + 3y + -3y = 120 + 2y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 120 + 2y + -3y 2x = 120 + 2y + -3y Combine like terms: 2y + -3y = -1y 2x = 120 + -1y Divide each side by '2'. x = 60 + -0.5y Simplifying x = 60 + -0.5y
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