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Simplifying 2x + -4x + -17 = 32 + -9x Reorder the terms: -17 + 2x + -4x = 32 + -9x Combine like terms: 2x + -4x = -2x -17 + -2x = 32 + -9x Solving -17 + -2x = 32 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -17 + -2x + 9x = 32 + -9x + 9x Combine like terms: -2x + 9x = 7x -17 + 7x = 32 + -9x + 9x Combine like terms: -9x + 9x = 0 -17 + 7x = 32 + 0 -17 + 7x = 32 Add '17' to each side of the equation. -17 + 17 + 7x = 32 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 32 + 17 7x = 32 + 17 Combine like terms: 32 + 17 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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