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Simplifying 3x + 4y + -17 = 7x + -9 Reorder the terms: -17 + 3x + 4y = 7x + -9 Reorder the terms: -17 + 3x + 4y = -9 + 7x Solving -17 + 3x + 4y = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 3x + -7x + 4y = -9 + 7x + -7x Combine like terms: 3x + -7x = -4x -17 + -4x + 4y = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -4x + 4y = -9 + 0 -17 + -4x + 4y = -9 Add '17' to each side of the equation. -17 + -4x + 17 + 4y = -9 + 17 Reorder the terms: -17 + 17 + -4x + 4y = -9 + 17 Combine like terms: -17 + 17 = 0 0 + -4x + 4y = -9 + 17 -4x + 4y = -9 + 17 Combine like terms: -9 + 17 = 8 -4x + 4y = 8 Add '-4y' to each side of the equation. -4x + 4y + -4y = 8 + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = 8 + -4y -4x = 8 + -4y Divide each side by '-4'. x = -2 + y Simplifying x = -2 + y
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