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Simplifying 3x + 7y = 1x + -2y + -17 Reorder the terms: 3x + 7y = -17 + 1x + -2y Solving 3x + 7y = -17 + 1x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x + 7y = -17 + 1x + -1x + -2y Combine like terms: 3x + -1x = 2x 2x + 7y = -17 + 1x + -1x + -2y Combine like terms: 1x + -1x = 0 2x + 7y = -17 + 0 + -2y 2x + 7y = -17 + -2y Add '-7y' to each side of the equation. 2x + 7y + -7y = -17 + -2y + -7y Combine like terms: 7y + -7y = 0 2x + 0 = -17 + -2y + -7y 2x = -17 + -2y + -7y Combine like terms: -2y + -7y = -9y 2x = -17 + -9y Divide each side by '2'. x = -8.5 + -4.5y Simplifying x = -8.5 + -4.5y
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