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Simplifying (3x + 2y) + -1(2x + 3y) = 50 Remove parenthesis around (3x + 2y) 3x + 2y + -1(2x + 3y) = 50 3x + 2y + (2x * -1 + 3y * -1) = 50 3x + 2y + (-2x + -3y) = 50 Reorder the terms: 3x + -2x + 2y + -3y = 50 Combine like terms: 3x + -2x = 1x 1x + 2y + -3y = 50 Combine like terms: 2y + -3y = -1y 1x + -1y = 50 Solving 1x + -1y = 50 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. 1x + -1y + y = 50 + y Combine like terms: -1y + y = 0 1x + 0 = 50 + y 1x = 50 + y Divide each side by '1'. x = 50 + y Simplifying x = 50 + y
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