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Simplifying 3x + 5y + 8 + -2x + y + -12 = 0 Reorder the terms: 8 + -12 + 3x + -2x + 5y + y = 0 Combine like terms: 8 + -12 = -4 -4 + 3x + -2x + 5y + y = 0 Combine like terms: 3x + -2x = 1x -4 + 1x + 5y + y = 0 Combine like terms: 5y + y = 6y -4 + 1x + 6y = 0 Solving -4 + 1x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 1x + 4 + 6y = 0 + 4 Reorder the terms: -4 + 4 + 1x + 6y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1x + 6y = 0 + 4 1x + 6y = 0 + 4 Combine like terms: 0 + 4 = 4 1x + 6y = 4 Add '-6y' to each side of the equation. 1x + 6y + -6y = 4 + -6y Combine like terms: 6y + -6y = 0 1x + 0 = 4 + -6y 1x = 4 + -6y Divide each side by '1'. x = 4 + -6y Simplifying x = 4 + -6y
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