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Simplifying 462 + 21x = 483 + 18x Solving 462 + 21x = 483 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 462 + 21x + -18x = 483 + 18x + -18x Combine like terms: 21x + -18x = 3x 462 + 3x = 483 + 18x + -18x Combine like terms: 18x + -18x = 0 462 + 3x = 483 + 0 462 + 3x = 483 Add '-462' to each side of the equation. 462 + -462 + 3x = 483 + -462 Combine like terms: 462 + -462 = 0 0 + 3x = 483 + -462 3x = 483 + -462 Combine like terms: 483 + -462 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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