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Simplifying -8x + 6y + -20 = 3y + -14x + 10 Reorder the terms: -20 + -8x + 6y = 3y + -14x + 10 Reorder the terms: -20 + -8x + 6y = 10 + -14x + 3y Solving -20 + -8x + 6y = 10 + -14x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -20 + -8x + 14x + 6y = 10 + -14x + 14x + 3y Combine like terms: -8x + 14x = 6x -20 + 6x + 6y = 10 + -14x + 14x + 3y Combine like terms: -14x + 14x = 0 -20 + 6x + 6y = 10 + 0 + 3y -20 + 6x + 6y = 10 + 3y Add '20' to each side of the equation. -20 + 6x + 20 + 6y = 10 + 20 + 3y Reorder the terms: -20 + 20 + 6x + 6y = 10 + 20 + 3y Combine like terms: -20 + 20 = 0 0 + 6x + 6y = 10 + 20 + 3y 6x + 6y = 10 + 20 + 3y Combine like terms: 10 + 20 = 30 6x + 6y = 30 + 3y Add '-6y' to each side of the equation. 6x + 6y + -6y = 30 + 3y + -6y Combine like terms: 6y + -6y = 0 6x + 0 = 30 + 3y + -6y 6x = 30 + 3y + -6y Combine like terms: 3y + -6y = -3y 6x = 30 + -3y Divide each side by '6'. x = 5 + -0.5y Simplifying x = 5 + -0.5y
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