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Simplifying 2x + y + -6 = 6x + 3y + -12 Reorder the terms: -6 + 2x + y = 6x + 3y + -12 Reorder the terms: -6 + 2x + y = -12 + 6x + 3y Solving -6 + 2x + y = -12 + 6x + 3y 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. -6 + 2x + -6x + y = -12 + 6x + -6x + 3y Combine like terms: 2x + -6x = -4x -6 + -4x + y = -12 + 6x + -6x + 3y Combine like terms: 6x + -6x = 0 -6 + -4x + y = -12 + 0 + 3y -6 + -4x + y = -12 + 3y Add '6' to each side of the equation. -6 + -4x + 6 + y = -12 + 6 + 3y Reorder the terms: -6 + 6 + -4x + y = -12 + 6 + 3y Combine like terms: -6 + 6 = 0 0 + -4x + y = -12 + 6 + 3y -4x + y = -12 + 6 + 3y Combine like terms: -12 + 6 = -6 -4x + y = -6 + 3y Add '-1y' to each side of the equation. -4x + y + -1y = -6 + 3y + -1y Combine like terms: y + -1y = 0 -4x + 0 = -6 + 3y + -1y -4x = -6 + 3y + -1y Combine like terms: 3y + -1y = 2y -4x = -6 + 2y Divide each side by '-4'. x = 1.5 + -0.5y Simplifying x = 1.5 + -0.5y
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