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Simplifying (3x) + (5y + 1) = (5x + -4) + (2y + 4) Reorder the terms: (3x) + (1 + 5y) = (5x + -4) + (2y + 4) Remove parenthesis around (1 + 5y) (3x) + 1 + 5y = (5x + -4) + (2y + 4) Reorder the terms: 1 + (3x) + 5y = (5x + -4) + (2y + 4) Reorder the terms: 1 + (3x) + 5y = (-4 + 5x) + (2y + 4) Remove parenthesis around (-4 + 5x) 1 + (3x) + 5y = -4 + 5x + (2y + 4) Reorder the terms: 1 + (3x) + 5y = -4 + 5x + (4 + 2y) Remove parenthesis around (4 + 2y) 1 + (3x) + 5y = -4 + 5x + 4 + 2y Reorder the terms: 1 + (3x) + 5y = -4 + 4 + 5x + 2y Combine like terms: -4 + 4 = 0 1 + (3x) + 5y = 0 + 5x + 2y 1 + (3x) + 5y = 5x + 2y Solving 1 + (3x) + 5y = 5x + 2y 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. 1 + (3x) + -5x + 5y = 5x + -5x + 2y Combine like terms: (3x) + -5x = -2x 1 + -2x + 5y = 5x + -5x + 2y Combine like terms: 5x + -5x = 0 1 + -2x + 5y = 0 + 2y 1 + -2x + 5y = 2y Add '-1' to each side of the equation. 1 + -2x + -1 + 5y = -1 + 2y Reorder the terms: 1 + -1 + -2x + 5y = -1 + 2y Combine like terms: 1 + -1 = 0 0 + -2x + 5y = -1 + 2y -2x + 5y = -1 + 2y Add '-5y' to each side of the equation. -2x + 5y + -5y = -1 + 2y + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = -1 + 2y + -5y -2x = -1 + 2y + -5y Combine like terms: 2y + -5y = -3y -2x = -1 + -3y Divide each side by '-2'. x = 0.5 + 1.5y Simplifying x = 0.5 + 1.5y
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