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Simplifying 7(5x + 6) + (x + 5) = 23 Reorder the terms: 7(6 + 5x) + (x + 5) = 23 (6 * 7 + 5x * 7) + (x + 5) = 23 (42 + 35x) + (x + 5) = 23 Reorder the terms: 42 + 35x + (5 + x) = 23 Remove parenthesis around (5 + x) 42 + 35x + 5 + x = 23 Reorder the terms: 42 + 5 + 35x + x = 23 Combine like terms: 42 + 5 = 47 47 + 35x + x = 23 Combine like terms: 35x + x = 36x 47 + 36x = 23 Solving 47 + 36x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 36x = 23 + -47 Combine like terms: 47 + -47 = 0 0 + 36x = 23 + -47 36x = 23 + -47 Combine like terms: 23 + -47 = -24 36x = -24 Divide each side by '36'. x = -0.6666666667 Simplifying x = -0.6666666667
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