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Simplifying 114 + -7x = 29x + 22 Reorder the terms: 114 + -7x = 22 + 29x Solving 114 + -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. 114 + -7x + -29x = 22 + 29x + -29x Combine like terms: -7x + -29x = -36x 114 + -36x = 22 + 29x + -29x Combine like terms: 29x + -29x = 0 114 + -36x = 22 + 0 114 + -36x = 22 Add '-114' to each side of the equation. 114 + -114 + -36x = 22 + -114 Combine like terms: 114 + -114 = 0 0 + -36x = 22 + -114 -36x = 22 + -114 Combine like terms: 22 + -114 = -92 -36x = -92 Divide each side by '-36'. x = 2.555555556 Simplifying x = 2.555555556
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