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Simplifying 4x + -9 = 5x + -17 Reorder the terms: -9 + 4x = 5x + -17 Reorder the terms: -9 + 4x = -17 + 5x Solving -9 + 4x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 4x + -5x = -17 + 5x + -5x Combine like terms: 4x + -5x = -1x -9 + -1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -1x = -17 + 0 -9 + -1x = -17 Add '9' to each side of the equation. -9 + 9 + -1x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -17 + 9 -1x = -17 + 9 Combine like terms: -17 + 9 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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