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Simplifying 102 + -6x = 30x + 22 Reorder the terms: 102 + -6x = 22 + 30x Solving 102 + -6x = 22 + 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. 102 + -6x + -30x = 22 + 30x + -30x Combine like terms: -6x + -30x = -36x 102 + -36x = 22 + 30x + -30x Combine like terms: 30x + -30x = 0 102 + -36x = 22 + 0 102 + -36x = 22 Add '-102' to each side of the equation. 102 + -102 + -36x = 22 + -102 Combine like terms: 102 + -102 = 0 0 + -36x = 22 + -102 -36x = 22 + -102 Combine like terms: 22 + -102 = -80 -36x = -80 Divide each side by '-36'. x = 2.222222222 Simplifying x = 2.222222222
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