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Simplifying (25 + 4x) + (50 + 3x) = 152 Remove parenthesis around (25 + 4x) 25 + 4x + (50 + 3x) = 152 Remove parenthesis around (50 + 3x) 25 + 4x + 50 + 3x = 152 Reorder the terms: 25 + 50 + 4x + 3x = 152 Combine like terms: 25 + 50 = 75 75 + 4x + 3x = 152 Combine like terms: 4x + 3x = 7x 75 + 7x = 152 Solving 75 + 7x = 152 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 7x = 152 + -75 Combine like terms: 75 + -75 = 0 0 + 7x = 152 + -75 7x = 152 + -75 Combine like terms: 152 + -75 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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