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Simplifying -4y + 7 + -12x = y + 8x + 2 Reorder the terms: 7 + -12x + -4y = y + 8x + 2 Reorder the terms: 7 + -12x + -4y = 2 + 8x + y Solving 7 + -12x + -4y = 2 + 8x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + -12x + -8x + -4y = 2 + 8x + -8x + y Combine like terms: -12x + -8x = -20x 7 + -20x + -4y = 2 + 8x + -8x + y Combine like terms: 8x + -8x = 0 7 + -20x + -4y = 2 + 0 + y 7 + -20x + -4y = 2 + y Add '-7' to each side of the equation. 7 + -20x + -7 + -4y = 2 + -7 + y Reorder the terms: 7 + -7 + -20x + -4y = 2 + -7 + y Combine like terms: 7 + -7 = 0 0 + -20x + -4y = 2 + -7 + y -20x + -4y = 2 + -7 + y Combine like terms: 2 + -7 = -5 -20x + -4y = -5 + y Add '4y' to each side of the equation. -20x + -4y + 4y = -5 + y + 4y Combine like terms: -4y + 4y = 0 -20x + 0 = -5 + y + 4y -20x = -5 + y + 4y Combine like terms: y + 4y = 5y -20x = -5 + 5y Divide each side by '-20'. x = 0.25 + -0.25y Simplifying x = 0.25 + -0.25y
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