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Simplifying 5x + -17 = 2x + 49 Reorder the terms: -17 + 5x = 2x + 49 Reorder the terms: -17 + 5x = 49 + 2x Solving -17 + 5x = 49 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 5x + -2x = 49 + 2x + -2x Combine like terms: 5x + -2x = 3x -17 + 3x = 49 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 3x = 49 + 0 -17 + 3x = 49 Add '17' to each side of the equation. -17 + 17 + 3x = 49 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 49 + 17 3x = 49 + 17 Combine like terms: 49 + 17 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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