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Simplifying 6(4x + 7) = 162 Reorder the terms: 6(7 + 4x) = 162 (7 * 6 + 4x * 6) = 162 (42 + 24x) = 162 Solving 42 + 24x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 24x = 162 + -42 Combine like terms: 42 + -42 = 0 0 + 24x = 162 + -42 24x = 162 + -42 Combine like terms: 162 + -42 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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