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Simplifying (y + 2x) + -56 = (2y + 3x) + -97 Reorder the terms: (2x + y) + -56 = (2y + 3x) + -97 Remove parenthesis around (2x + y) 2x + y + -56 = (2y + 3x) + -97 Reorder the terms: -56 + 2x + y = (2y + 3x) + -97 Reorder the terms: -56 + 2x + y = (3x + 2y) + -97 Remove parenthesis around (3x + 2y) -56 + 2x + y = 3x + 2y + -97 Reorder the terms: -56 + 2x + y = -97 + 3x + 2y Solving -56 + 2x + y = -97 + 3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -56 + 2x + -3x + y = -97 + 3x + -3x + 2y Combine like terms: 2x + -3x = -1x -56 + -1x + y = -97 + 3x + -3x + 2y Combine like terms: 3x + -3x = 0 -56 + -1x + y = -97 + 0 + 2y -56 + -1x + y = -97 + 2y Add '56' to each side of the equation. -56 + -1x + 56 + y = -97 + 56 + 2y Reorder the terms: -56 + 56 + -1x + y = -97 + 56 + 2y Combine like terms: -56 + 56 = 0 0 + -1x + y = -97 + 56 + 2y -1x + y = -97 + 56 + 2y Combine like terms: -97 + 56 = -41 -1x + y = -41 + 2y Add '-1y' to each side of the equation. -1x + y + -1y = -41 + 2y + -1y Combine like terms: y + -1y = 0 -1x + 0 = -41 + 2y + -1y -1x = -41 + 2y + -1y Combine like terms: 2y + -1y = 1y -1x = -41 + 1y Divide each side by '-1'. x = 41 + -1y Simplifying x = 41 + -1y
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