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Simplifying 7x + 3(5x + 15) = 177 Reorder the terms: 7x + 3(15 + 5x) = 177 7x + (15 * 3 + 5x * 3) = 177 7x + (45 + 15x) = 177 Reorder the terms: 45 + 7x + 15x = 177 Combine like terms: 7x + 15x = 22x 45 + 22x = 177 Solving 45 + 22x = 177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 22x = 177 + -45 Combine like terms: 45 + -45 = 0 0 + 22x = 177 + -45 22x = 177 + -45 Combine like terms: 177 + -45 = 132 22x = 132 Divide each side by '22'. x = 6 Simplifying x = 6
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