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Simplifying 7x + 3(5x + -15) = 197 Reorder the terms: 7x + 3(-15 + 5x) = 197 7x + (-15 * 3 + 5x * 3) = 197 7x + (-45 + 15x) = 197 Reorder the terms: -45 + 7x + 15x = 197 Combine like terms: 7x + 15x = 22x -45 + 22x = 197 Solving -45 + 22x = 197 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 = 197 + 45 Combine like terms: -45 + 45 = 0 0 + 22x = 197 + 45 22x = 197 + 45 Combine like terms: 197 + 45 = 242 22x = 242 Divide each side by '22'. x = 11 Simplifying x = 11
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