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Simplifying 7x + 5(7x + -18) = 162 Reorder the terms: 7x + 5(-18 + 7x) = 162 7x + (-18 * 5 + 7x * 5) = 162 7x + (-90 + 35x) = 162 Reorder the terms: -90 + 7x + 35x = 162 Combine like terms: 7x + 35x = 42x -90 + 42x = 162 Solving -90 + 42x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 42x = 162 + 90 Combine like terms: -90 + 90 = 0 0 + 42x = 162 + 90 42x = 162 + 90 Combine like terms: 162 + 90 = 252 42x = 252 Divide each side by '42'. x = 6 Simplifying x = 6
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