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Simplifying 2x + 4y + -20 = 12x + -6y + -10 Reorder the terms: -20 + 2x + 4y = 12x + -6y + -10 Reorder the terms: -20 + 2x + 4y = -10 + 12x + -6y Solving -20 + 2x + 4y = -10 + 12x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 2x + -12x + 4y = -10 + 12x + -12x + -6y Combine like terms: 2x + -12x = -10x -20 + -10x + 4y = -10 + 12x + -12x + -6y Combine like terms: 12x + -12x = 0 -20 + -10x + 4y = -10 + 0 + -6y -20 + -10x + 4y = -10 + -6y Add '20' to each side of the equation. -20 + -10x + 20 + 4y = -10 + 20 + -6y Reorder the terms: -20 + 20 + -10x + 4y = -10 + 20 + -6y Combine like terms: -20 + 20 = 0 0 + -10x + 4y = -10 + 20 + -6y -10x + 4y = -10 + 20 + -6y Combine like terms: -10 + 20 = 10 -10x + 4y = 10 + -6y Add '-4y' to each side of the equation. -10x + 4y + -4y = 10 + -6y + -4y Combine like terms: 4y + -4y = 0 -10x + 0 = 10 + -6y + -4y -10x = 10 + -6y + -4y Combine like terms: -6y + -4y = -10y -10x = 10 + -10y Divide each side by '-10'. x = -1 + y Simplifying x = -1 + y
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