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Simplifying 17x + 47 = 23x + 5 Reorder the terms: 47 + 17x = 23x + 5 Reorder the terms: 47 + 17x = 5 + 23x Solving 47 + 17x = 5 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 47 + 17x + -23x = 5 + 23x + -23x Combine like terms: 17x + -23x = -6x 47 + -6x = 5 + 23x + -23x Combine like terms: 23x + -23x = 0 47 + -6x = 5 + 0 47 + -6x = 5 Add '-47' to each side of the equation. 47 + -47 + -6x = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -6x = 5 + -47 -6x = 5 + -47 Combine like terms: 5 + -47 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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