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Simplifying 420 = 21(5 + 3x) 420 = (5 * 21 + 3x * 21) 420 = (105 + 63x) Solving 420 = 105 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 420 + -63x = 105 + 63x + -63x Combine like terms: 63x + -63x = 0 420 + -63x = 105 + 0 420 + -63x = 105 Add '-420' to each side of the equation. 420 + -420 + -63x = 105 + -420 Combine like terms: 420 + -420 = 0 0 + -63x = 105 + -420 -63x = 105 + -420 Combine like terms: 105 + -420 = -315 -63x = -315 Divide each side by '-63'. x = 5 Simplifying x = 5
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