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Simplifying 214 + -7x = 38x + 24 Reorder the terms: 214 + -7x = 24 + 38x Solving 214 + -7x = 24 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 214 + -7x + -38x = 24 + 38x + -38x Combine like terms: -7x + -38x = -45x 214 + -45x = 24 + 38x + -38x Combine like terms: 38x + -38x = 0 214 + -45x = 24 + 0 214 + -45x = 24 Add '-214' to each side of the equation. 214 + -214 + -45x = 24 + -214 Combine like terms: 214 + -214 = 0 0 + -45x = 24 + -214 -45x = 24 + -214 Combine like terms: 24 + -214 = -190 -45x = -190 Divide each side by '-45'. x = 4.222222222 Simplifying x = 4.222222222
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