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Simplifying 3x + y + -40 = 2x + -1y + 20 Reorder the terms: -40 + 3x + y = 2x + -1y + 20 Reorder the terms: -40 + 3x + y = 20 + 2x + -1y Solving -40 + 3x + y = 20 + 2x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 3x + -2x + y = 20 + 2x + -2x + -1y Combine like terms: 3x + -2x = 1x -40 + 1x + y = 20 + 2x + -2x + -1y Combine like terms: 2x + -2x = 0 -40 + 1x + y = 20 + 0 + -1y -40 + 1x + y = 20 + -1y Add '40' to each side of the equation. -40 + 1x + 40 + y = 20 + 40 + -1y Reorder the terms: -40 + 40 + 1x + y = 20 + 40 + -1y Combine like terms: -40 + 40 = 0 0 + 1x + y = 20 + 40 + -1y 1x + y = 20 + 40 + -1y Combine like terms: 20 + 40 = 60 1x + y = 60 + -1y Add '-1y' to each side of the equation. 1x + y + -1y = 60 + -1y + -1y Combine like terms: y + -1y = 0 1x + 0 = 60 + -1y + -1y 1x = 60 + -1y + -1y Combine like terms: -1y + -1y = -2y 1x = 60 + -2y Divide each side by '1'. x = 60 + -2y Simplifying x = 60 + -2y
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