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Simplifying 7x + 4x + -5 = 9x + 17 Reorder the terms: -5 + 7x + 4x = 9x + 17 Combine like terms: 7x + 4x = 11x -5 + 11x = 9x + 17 Reorder the terms: -5 + 11x = 17 + 9x Solving -5 + 11x = 17 + 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. -5 + 11x + -9x = 17 + 9x + -9x Combine like terms: 11x + -9x = 2x -5 + 2x = 17 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 2x = 17 + 0 -5 + 2x = 17 Add '5' to each side of the equation. -5 + 5 + 2x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 17 + 5 2x = 17 + 5 Combine like terms: 17 + 5 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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