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Simplifying 282 + -7x = 38x + 22 Reorder the terms: 282 + -7x = 22 + 38x Solving 282 + -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. 282 + -7x + -38x = 22 + 38x + -38x Combine like terms: -7x + -38x = -45x 282 + -45x = 22 + 38x + -38x Combine like terms: 38x + -38x = 0 282 + -45x = 22 + 0 282 + -45x = 22 Add '-282' to each side of the equation. 282 + -282 + -45x = 22 + -282 Combine like terms: 282 + -282 = 0 0 + -45x = 22 + -282 -45x = 22 + -282 Combine like terms: 22 + -282 = -260 -45x = -260 Divide each side by '-45'. x = 5.777777778 Simplifying x = 5.777777778
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