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Simplifying 102 + -7x = 29x + 22 Reorder the terms: 102 + -7x = 22 + 29x Solving 102 + -7x = 22 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 102 + -7x + -29x = 22 + 29x + -29x Combine like terms: -7x + -29x = -36x 102 + -36x = 22 + 29x + -29x Combine like terms: 29x + -29x = 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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