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Simplifying 3y + -4x = 2y + -2x + 10 Reorder the terms: -4x + 3y = 2y + -2x + 10 Reorder the terms: -4x + 3y = 10 + -2x + 2y Solving -4x + 3y = 10 + -2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4x + 2x + 3y = 10 + -2x + 2x + 2y Combine like terms: -4x + 2x = -2x -2x + 3y = 10 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 -2x + 3y = 10 + 0 + 2y -2x + 3y = 10 + 2y Add '-3y' to each side of the equation. -2x + 3y + -3y = 10 + 2y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 10 + 2y + -3y -2x = 10 + 2y + -3y Combine like terms: 2y + -3y = -1y -2x = 10 + -1y Divide each side by '-2'. x = -5 + 0.5y Simplifying x = -5 + 0.5y
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