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Simplifying 174 + -5x = 22x + 21 Reorder the terms: 174 + -5x = 21 + 22x Solving 174 + -5x = 21 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 174 + -5x + -22x = 21 + 22x + -22x Combine like terms: -5x + -22x = -27x 174 + -27x = 21 + 22x + -22x Combine like terms: 22x + -22x = 0 174 + -27x = 21 + 0 174 + -27x = 21 Add '-174' to each side of the equation. 174 + -174 + -27x = 21 + -174 Combine like terms: 174 + -174 = 0 0 + -27x = 21 + -174 -27x = 21 + -174 Combine like terms: 21 + -174 = -153 -27x = -153 Divide each side by '-27'. x = 5.666666667 Simplifying x = 5.666666667
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