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Simplifying 282 + -5x = 40x + 22 Reorder the terms: 282 + -5x = 22 + 40x Solving 282 + -5x = 22 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 282 + -5x + -40x = 22 + 40x + -40x Combine like terms: -5x + -40x = -45x 282 + -45x = 22 + 40x + -40x Combine like terms: 40x + -40x = 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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