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Simplifying 214 + -7x = 29x + 18 Reorder the terms: 214 + -7x = 18 + 29x Solving 214 + -7x = 18 + 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. 214 + -7x + -29x = 18 + 29x + -29x Combine like terms: -7x + -29x = -36x 214 + -36x = 18 + 29x + -29x Combine like terms: 29x + -29x = 0 214 + -36x = 18 + 0 214 + -36x = 18 Add '-214' to each side of the equation. 214 + -214 + -36x = 18 + -214 Combine like terms: 214 + -214 = 0 0 + -36x = 18 + -214 -36x = 18 + -214 Combine like terms: 18 + -214 = -196 -36x = -196 Divide each side by '-36'. x = 5.444444444 Simplifying x = 5.444444444
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