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Simplifying 3x + 12y + -5 = x + y Reorder the terms: -5 + 3x + 12y = x + y Solving -5 + 3x + 12y = x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x + 12y = x + -1x + y Combine like terms: 3x + -1x = 2x -5 + 2x + 12y = x + -1x + y Combine like terms: x + -1x = 0 -5 + 2x + 12y = 0 + y -5 + 2x + 12y = y Add '5' to each side of the equation. -5 + 2x + 5 + 12y = 5 + y Reorder the terms: -5 + 5 + 2x + 12y = 5 + y Combine like terms: -5 + 5 = 0 0 + 2x + 12y = 5 + y 2x + 12y = 5 + y Add '-12y' to each side of the equation. 2x + 12y + -12y = 5 + y + -12y Combine like terms: 12y + -12y = 0 2x + 0 = 5 + y + -12y 2x = 5 + y + -12y Combine like terms: y + -12y = -11y 2x = 5 + -11y Divide each side by '2'. x = 2.5 + -5.5y Simplifying x = 2.5 + -5.5y
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