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Simplifying 2x + -4y + 12 + -6x + 10y + -8 = 0 Reorder the terms: 12 + -8 + 2x + -6x + -4y + 10y = 0 Combine like terms: 12 + -8 = 4 4 + 2x + -6x + -4y + 10y = 0 Combine like terms: 2x + -6x = -4x 4 + -4x + -4y + 10y = 0 Combine like terms: -4y + 10y = 6y 4 + -4x + 6y = 0 Solving 4 + -4x + 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 + -4x + -4 + 6y = 0 + -4 Reorder the terms: 4 + -4 + -4x + 6y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4x + 6y = 0 + -4 -4x + 6y = 0 + -4 Combine like terms: 0 + -4 = -4 -4x + 6y = -4 Add '-6y' to each side of the equation. -4x + 6y + -6y = -4 + -6y Combine like terms: 6y + -6y = 0 -4x + 0 = -4 + -6y -4x = -4 + -6y Divide each side by '-4'. x = 1 + 1.5y Simplifying x = 1 + 1.5y
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