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Simplifying 45x + -56y + 80 = 3x + 2y + 1 Reorder the terms: 80 + 45x + -56y = 3x + 2y + 1 Reorder the terms: 80 + 45x + -56y = 1 + 3x + 2y Solving 80 + 45x + -56y = 1 + 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. 80 + 45x + -3x + -56y = 1 + 3x + -3x + 2y Combine like terms: 45x + -3x = 42x 80 + 42x + -56y = 1 + 3x + -3x + 2y Combine like terms: 3x + -3x = 0 80 + 42x + -56y = 1 + 0 + 2y 80 + 42x + -56y = 1 + 2y Add '-80' to each side of the equation. 80 + 42x + -80 + -56y = 1 + -80 + 2y Reorder the terms: 80 + -80 + 42x + -56y = 1 + -80 + 2y Combine like terms: 80 + -80 = 0 0 + 42x + -56y = 1 + -80 + 2y 42x + -56y = 1 + -80 + 2y Combine like terms: 1 + -80 = -79 42x + -56y = -79 + 2y Add '56y' to each side of the equation. 42x + -56y + 56y = -79 + 2y + 56y Combine like terms: -56y + 56y = 0 42x + 0 = -79 + 2y + 56y 42x = -79 + 2y + 56y Combine like terms: 2y + 56y = 58y 42x = -79 + 58y Divide each side by '42'. x = -1.880952381 + 1.380952381y Simplifying x = -1.880952381 + 1.380952381y
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