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Simplifying 10x + 21 = 6x + 105 Reorder the terms: 21 + 10x = 6x + 105 Reorder the terms: 21 + 10x = 105 + 6x Solving 21 + 10x = 105 + 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. 21 + 10x + -6x = 105 + 6x + -6x Combine like terms: 10x + -6x = 4x 21 + 4x = 105 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 4x = 105 + 0 21 + 4x = 105 Add '-21' to each side of the equation. 21 + -21 + 4x = 105 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 105 + -21 4x = 105 + -21 Combine like terms: 105 + -21 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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