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Simplifying (4x + 47) = (10x + 23) Reorder the terms: (47 + 4x) = (10x + 23) Remove parenthesis around (47 + 4x) 47 + 4x = (10x + 23) Reorder the terms: 47 + 4x = (23 + 10x) Remove parenthesis around (23 + 10x) 47 + 4x = 23 + 10x Solving 47 + 4x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 47 + 4x + -10x = 23 + 10x + -10x Combine like terms: 4x + -10x = -6x 47 + -6x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 47 + -6x = 23 + 0 47 + -6x = 23 Add '-47' to each side of the equation. 47 + -47 + -6x = 23 + -47 Combine like terms: 47 + -47 = 0 0 + -6x = 23 + -47 -6x = 23 + -47 Combine like terms: 23 + -47 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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