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Simplifying 14x + 420 = 6x + 840 Reorder the terms: 420 + 14x = 6x + 840 Reorder the terms: 420 + 14x = 840 + 6x Solving 420 + 14x = 840 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 420 + 14x + -6x = 840 + 6x + -6x Combine like terms: 14x + -6x = 8x 420 + 8x = 840 + 6x + -6x Combine like terms: 6x + -6x = 0 420 + 8x = 840 + 0 420 + 8x = 840 Add '-420' to each side of the equation. 420 + -420 + 8x = 840 + -420 Combine like terms: 420 + -420 = 0 0 + 8x = 840 + -420 8x = 840 + -420 Combine like terms: 840 + -420 = 420 8x = 420 Divide each side by '8'. x = 52.5 Simplifying x = 52.5
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