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Simplifying (3x + -3y) + (-0.5) = (5x + -5y) Remove parenthesis around (3x + -3y) 3x + -3y + (-0.5) = (5x + -5y) 3x + -3y + -0.5 = (5x + -5y) Reorder the terms: -0.5 + 3x + -3y = (5x + -5y) Remove parenthesis around (5x + -5y) -0.5 + 3x + -3y = 5x + -5y Solving -0.5 + 3x + -3y = 5x + -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. -0.5 + 3x + -5x + -3y = 5x + -5x + -5y Combine like terms: 3x + -5x = -2x -0.5 + -2x + -3y = 5x + -5x + -5y Combine like terms: 5x + -5x = 0 -0.5 + -2x + -3y = 0 + -5y -0.5 + -2x + -3y = -5y Add '0.5' to each side of the equation. -0.5 + -2x + 0.5 + -3y = 0.5 + -5y Reorder the terms: -0.5 + 0.5 + -2x + -3y = 0.5 + -5y Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -2x + -3y = 0.5 + -5y -2x + -3y = 0.5 + -5y Add '3y' to each side of the equation. -2x + -3y + 3y = 0.5 + -5y + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 0.5 + -5y + 3y -2x = 0.5 + -5y + 3y Combine like terms: -5y + 3y = -2y -2x = 0.5 + -2y Divide each side by '-2'. x = -0.25 + y Simplifying x = -0.25 + y
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