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Simplifying 6x + 6(7x + 3) = 162 Reorder the terms: 6x + 6(3 + 7x) = 162 6x + (3 * 6 + 7x * 6) = 162 6x + (18 + 42x) = 162 Reorder the terms: 18 + 6x + 42x = 162 Combine like terms: 6x + 42x = 48x 18 + 48x = 162 Solving 18 + 48x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 48x = 162 + -18 Combine like terms: 18 + -18 = 0 0 + 48x = 162 + -18 48x = 162 + -18 Combine like terms: 162 + -18 = 144 48x = 144 Divide each side by '48'. x = 3 Simplifying x = 3
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