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Simplifying 2x + 3y + -17 = 45 + -1y Reorder the terms: -17 + 2x + 3y = 45 + -1y Solving -17 + 2x + 3y = 45 + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 2x + 17 + 3y = 45 + 17 + -1y Reorder the terms: -17 + 17 + 2x + 3y = 45 + 17 + -1y Combine like terms: -17 + 17 = 0 0 + 2x + 3y = 45 + 17 + -1y 2x + 3y = 45 + 17 + -1y Combine like terms: 45 + 17 = 62 2x + 3y = 62 + -1y Add '-3y' to each side of the equation. 2x + 3y + -3y = 62 + -1y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 62 + -1y + -3y 2x = 62 + -1y + -3y Combine like terms: -1y + -3y = -4y 2x = 62 + -4y Divide each side by '2'. x = 31 + -2y Simplifying x = 31 + -2y
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