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Simplifying 5x + -17 = -3x + 55 Reorder the terms: -17 + 5x = -3x + 55 Reorder the terms: -17 + 5x = 55 + -3x Solving -17 + 5x = 55 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -17 + 5x + 3x = 55 + -3x + 3x Combine like terms: 5x + 3x = 8x -17 + 8x = 55 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 8x = 55 + 0 -17 + 8x = 55 Add '17' to each side of the equation. -17 + 17 + 8x = 55 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 55 + 17 8x = 55 + 17 Combine like terms: 55 + 17 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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