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Simplifying (x + y) + (3x + -2y) = 100 Remove parenthesis around (x + y) x + y + (3x + -2y) = 100 Remove parenthesis around (3x + -2y) x + y + 3x + -2y = 100 Reorder the terms: x + 3x + y + -2y = 100 Combine like terms: x + 3x = 4x 4x + y + -2y = 100 Combine like terms: y + -2y = -1y 4x + -1y = 100 Solving 4x + -1y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y = 100 + y Combine like terms: -1y + y = 0 4x + 0 = 100 + y 4x = 100 + y Divide each side by '4'. x = 25 + 0.25y Simplifying x = 25 + 0.25y
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