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Simplifying 8x + 5y + -12 = 3y + -4x + 6 Reorder the terms: -12 + 8x + 5y = 3y + -4x + 6 Reorder the terms: -12 + 8x + 5y = 6 + -4x + 3y Solving -12 + 8x + 5y = 6 + -4x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 8x + 4x + 5y = 6 + -4x + 4x + 3y Combine like terms: 8x + 4x = 12x -12 + 12x + 5y = 6 + -4x + 4x + 3y Combine like terms: -4x + 4x = 0 -12 + 12x + 5y = 6 + 0 + 3y -12 + 12x + 5y = 6 + 3y Add '12' to each side of the equation. -12 + 12x + 12 + 5y = 6 + 12 + 3y Reorder the terms: -12 + 12 + 12x + 5y = 6 + 12 + 3y Combine like terms: -12 + 12 = 0 0 + 12x + 5y = 6 + 12 + 3y 12x + 5y = 6 + 12 + 3y Combine like terms: 6 + 12 = 18 12x + 5y = 18 + 3y Add '-5y' to each side of the equation. 12x + 5y + -5y = 18 + 3y + -5y Combine like terms: 5y + -5y = 0 12x + 0 = 18 + 3y + -5y 12x = 18 + 3y + -5y Combine like terms: 3y + -5y = -2y 12x = 18 + -2y Divide each side by '12'. x = 1.5 + -0.1666666667y Simplifying x = 1.5 + -0.1666666667y
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