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Simplifying 217 + -7x = 38x + 22 Reorder the terms: 217 + -7x = 22 + 38x Solving 217 + -7x = 22 + 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. 217 + -7x + -38x = 22 + 38x + -38x Combine like terms: -7x + -38x = -45x 217 + -45x = 22 + 38x + -38x Combine like terms: 38x + -38x = 0 217 + -45x = 22 + 0 217 + -45x = 22 Add '-217' to each side of the equation. 217 + -217 + -45x = 22 + -217 Combine like terms: 217 + -217 = 0 0 + -45x = 22 + -217 -45x = 22 + -217 Combine like terms: 22 + -217 = -195 -45x = -195 Divide each side by '-45'. x = 4.333333333 Simplifying x = 4.333333333
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