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Simplifying 50x + x + 21 = 2(5x + 10x + 21) Reorder the terms: 21 + 50x + x = 2(5x + 10x + 21) Combine like terms: 50x + x = 51x 21 + 51x = 2(5x + 10x + 21) Reorder the terms: 21 + 51x = 2(21 + 5x + 10x) Combine like terms: 5x + 10x = 15x 21 + 51x = 2(21 + 15x) 21 + 51x = (21 * 2 + 15x * 2) 21 + 51x = (42 + 30x) Solving 21 + 51x = 42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 21 + 51x + -30x = 42 + 30x + -30x Combine like terms: 51x + -30x = 21x 21 + 21x = 42 + 30x + -30x Combine like terms: 30x + -30x = 0 21 + 21x = 42 + 0 21 + 21x = 42 Add '-21' to each side of the equation. 21 + -21 + 21x = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 21x = 42 + -21 21x = 42 + -21 Combine like terms: 42 + -21 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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