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Simplifying 7x + 47 = 8x + 22 Reorder the terms: 47 + 7x = 8x + 22 Reorder the terms: 47 + 7x = 22 + 8x Solving 47 + 7x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 47 + 7x + -8x = 22 + 8x + -8x Combine like terms: 7x + -8x = -1x 47 + -1x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 47 + -1x = 22 + 0 47 + -1x = 22 Add '-47' to each side of the equation. 47 + -47 + -1x = 22 + -47 Combine like terms: 47 + -47 = 0 0 + -1x = 22 + -47 -1x = 22 + -47 Combine like terms: 22 + -47 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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