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Simplifying 21x + 5 = 14x + 61 Reorder the terms: 5 + 21x = 14x + 61 Reorder the terms: 5 + 21x = 61 + 14x Solving 5 + 21x = 61 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + 21x + -14x = 61 + 14x + -14x Combine like terms: 21x + -14x = 7x 5 + 7x = 61 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + 7x = 61 + 0 5 + 7x = 61 Add '-5' to each side of the equation. 5 + -5 + 7x = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 61 + -5 7x = 61 + -5 Combine like terms: 61 + -5 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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