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Simplifying 10x + 21 = 4x + 105 Reorder the terms: 21 + 10x = 4x + 105 Reorder the terms: 21 + 10x = 105 + 4x Solving 21 + 10x = 105 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 10x + -4x = 105 + 4x + -4x Combine like terms: 10x + -4x = 6x 21 + 6x = 105 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 6x = 105 + 0 21 + 6x = 105 Add '-21' to each side of the equation. 21 + -21 + 6x = 105 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 105 + -21 6x = 105 + -21 Combine like terms: 105 + -21 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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