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Simplifying 462 = (x + 4) * 42 Reorder the terms: 462 = (4 + x) * 42 Reorder the terms for easier multiplication: 462 = 42(4 + x) 462 = (4 * 42 + x * 42) 462 = (168 + 42x) Solving 462 = 168 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 462 + -42x = 168 + 42x + -42x Combine like terms: 42x + -42x = 0 462 + -42x = 168 + 0 462 + -42x = 168 Add '-462' to each side of the equation. 462 + -462 + -42x = 168 + -462 Combine like terms: 462 + -462 = 0 0 + -42x = 168 + -462 -42x = 168 + -462 Combine like terms: 168 + -462 = -294 -42x = -294 Divide each side by '-42'. x = 7 Simplifying x = 7
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