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Simplifying 17x + 1 = -21x + 38 Reorder the terms: 1 + 17x = -21x + 38 Reorder the terms: 1 + 17x = 38 + -21x Solving 1 + 17x = 38 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 1 + 17x + 21x = 38 + -21x + 21x Combine like terms: 17x + 21x = 38x 1 + 38x = 38 + -21x + 21x Combine like terms: -21x + 21x = 0 1 + 38x = 38 + 0 1 + 38x = 38 Add '-1' to each side of the equation. 1 + -1 + 38x = 38 + -1 Combine like terms: 1 + -1 = 0 0 + 38x = 38 + -1 38x = 38 + -1 Combine like terms: 38 + -1 = 37 38x = 37 Divide each side by '38'. x = 0.9736842105 Simplifying x = 0.9736842105
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