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Simplifying 21x + 17 = 2x + 72 + 8x Reorder the terms: 17 + 21x = 2x + 72 + 8x Reorder the terms: 17 + 21x = 72 + 2x + 8x Combine like terms: 2x + 8x = 10x 17 + 21x = 72 + 10x Solving 17 + 21x = 72 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 21x + -10x = 72 + 10x + -10x Combine like terms: 21x + -10x = 11x 17 + 11x = 72 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + 11x = 72 + 0 17 + 11x = 72 Add '-17' to each side of the equation. 17 + -17 + 11x = 72 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = 72 + -17 11x = 72 + -17 Combine like terms: 72 + -17 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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