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Simplifying -17 + 6x = 4x + 37 Reorder the terms: -17 + 6x = 37 + 4x Solving -17 + 6x = 37 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 6x + -4x = 37 + 4x + -4x Combine like terms: 6x + -4x = 2x -17 + 2x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 2x = 37 + 0 -17 + 2x = 37 Add '17' to each side of the equation. -17 + 17 + 2x = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 37 + 17 2x = 37 + 17 Combine like terms: 37 + 17 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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