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Simplifying 22x + 100 = 25x + 78 Reorder the terms: 100 + 22x = 25x + 78 Reorder the terms: 100 + 22x = 78 + 25x Solving 100 + 22x = 78 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 100 + 22x + -25x = 78 + 25x + -25x Combine like terms: 22x + -25x = -3x 100 + -3x = 78 + 25x + -25x Combine like terms: 25x + -25x = 0 100 + -3x = 78 + 0 100 + -3x = 78 Add '-100' to each side of the equation. 100 + -100 + -3x = 78 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 78 + -100 -3x = 78 + -100 Combine like terms: 78 + -100 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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