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Simplifying 3x + -2y + -40 = x + 3y + 20 Reorder the terms: -40 + 3x + -2y = x + 3y + 20 Reorder the terms: -40 + 3x + -2y = 20 + x + 3y Solving -40 + 3x + -2y = 20 + x + 3y 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. -40 + 3x + -1x + -2y = 20 + x + -1x + 3y Combine like terms: 3x + -1x = 2x -40 + 2x + -2y = 20 + x + -1x + 3y Combine like terms: x + -1x = 0 -40 + 2x + -2y = 20 + 0 + 3y -40 + 2x + -2y = 20 + 3y Add '40' to each side of the equation. -40 + 2x + 40 + -2y = 20 + 40 + 3y Reorder the terms: -40 + 40 + 2x + -2y = 20 + 40 + 3y Combine like terms: -40 + 40 = 0 0 + 2x + -2y = 20 + 40 + 3y 2x + -2y = 20 + 40 + 3y Combine like terms: 20 + 40 = 60 2x + -2y = 60 + 3y Add '2y' to each side of the equation. 2x + -2y + 2y = 60 + 3y + 2y Combine like terms: -2y + 2y = 0 2x + 0 = 60 + 3y + 2y 2x = 60 + 3y + 2y Combine like terms: 3y + 2y = 5y 2x = 60 + 5y Divide each side by '2'. x = 30 + 2.5y Simplifying x = 30 + 2.5y
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