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