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Simplifying 4x + -17 = 9x + 28 Reorder the terms: -17 + 4x = 9x + 28 Reorder the terms: -17 + 4x = 28 + 9x Solving -17 + 4x = 28 + 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 + 4x + -9x = 28 + 9x + -9x Combine like terms: 4x + -9x = -5x -17 + -5x = 28 + 9x + -9x Combine like terms: 9x + -9x = 0 -17 + -5x = 28 + 0 -17 + -5x = 28 Add '17' to each side of the equation. -17 + 17 + -5x = 28 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = 28 + 17 -5x = 28 + 17 Combine like terms: 28 + 17 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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