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Simplifying 105 + -6x = 30x + 17 Reorder the terms: 105 + -6x = 17 + 30x Solving 105 + -6x = 17 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 105 + -6x + -30x = 17 + 30x + -30x Combine like terms: -6x + -30x = -36x 105 + -36x = 17 + 30x + -30x Combine like terms: 30x + -30x = 0 105 + -36x = 17 + 0 105 + -36x = 17 Add '-105' to each side of the equation. 105 + -105 + -36x = 17 + -105 Combine like terms: 105 + -105 = 0 0 + -36x = 17 + -105 -36x = 17 + -105 Combine like terms: 17 + -105 = -88 -36x = -88 Divide each side by '-36'. x = 2.444444444 Simplifying x = 2.444444444
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