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Simplifying 100 + (2x + y) = (5x + -1y) Remove parenthesis around (2x + y) 100 + 2x + y = (5x + -1y) Remove parenthesis around (5x + -1y) 100 + 2x + y = 5x + -1y Solving 100 + 2x + y = 5x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + 2x + -5x + y = 5x + -5x + -1y Combine like terms: 2x + -5x = -3x 100 + -3x + y = 5x + -5x + -1y Combine like terms: 5x + -5x = 0 100 + -3x + y = 0 + -1y 100 + -3x + y = -1y Add '-100' to each side of the equation. 100 + -3x + -100 + y = -100 + -1y Reorder the terms: 100 + -100 + -3x + y = -100 + -1y Combine like terms: 100 + -100 = 0 0 + -3x + y = -100 + -1y -3x + y = -100 + -1y Add '-1y' to each side of the equation. -3x + y + -1y = -100 + -1y + -1y Combine like terms: y + -1y = 0 -3x + 0 = -100 + -1y + -1y -3x = -100 + -1y + -1y Combine like terms: -1y + -1y = -2y -3x = -100 + -2y Divide each side by '-3'. x = 33.33333333 + 0.6666666667y Simplifying x = 33.33333333 + 0.6666666667y
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