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Simplifying 5x + -3y = 3x + -2y + 8 Reorder the terms: 5x + -3y = 8 + 3x + -2y Solving 5x + -3y = 8 + 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. 5x + -3x + -3y = 8 + 3x + -3x + -2y Combine like terms: 5x + -3x = 2x 2x + -3y = 8 + 3x + -3x + -2y Combine like terms: 3x + -3x = 0 2x + -3y = 8 + 0 + -2y 2x + -3y = 8 + -2y Add '3y' to each side of the equation. 2x + -3y + 3y = 8 + -2y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 8 + -2y + 3y 2x = 8 + -2y + 3y Combine like terms: -2y + 3y = 1y 2x = 8 + 1y Divide each side by '2'. x = 4 + 0.5y Simplifying x = 4 + 0.5y
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