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Simplifying x + 49 = 5x + 17 Reorder the terms: 49 + x = 5x + 17 Reorder the terms: 49 + x = 17 + 5x Solving 49 + x = 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. 49 + x + -5x = 17 + 5x + -5x Combine like terms: x + -5x = -4x 49 + -4x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + -4x = 17 + 0 49 + -4x = 17 Add '-49' to each side of the equation. 49 + -49 + -4x = 17 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 17 + -49 -4x = 17 + -49 Combine like terms: 17 + -49 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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