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Simplifying 3x + 8 + 4x + -35 = 5x + 4y Reorder the terms: 8 + -35 + 3x + 4x = 5x + 4y Combine like terms: 8 + -35 = -27 -27 + 3x + 4x = 5x + 4y Combine like terms: 3x + 4x = 7x -27 + 7x = 5x + 4y Solving -27 + 7x = 5x + 4y 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. -27 + 7x + -5x = 5x + -5x + 4y Combine like terms: 7x + -5x = 2x -27 + 2x = 5x + -5x + 4y Combine like terms: 5x + -5x = 0 -27 + 2x = 0 + 4y -27 + 2x = 4y Add '27' to each side of the equation. -27 + 27 + 2x = 27 + 4y Combine like terms: -27 + 27 = 0 0 + 2x = 27 + 4y 2x = 27 + 4y Divide each side by '2'. x = 13.5 + 2y Simplifying x = 13.5 + 2y
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