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Simplifying x * 8 + 21 = x * 2 + 171 Reorder the terms for easier multiplication: 8x + 21 = x * 2 + 171 Reorder the terms: 21 + 8x = x * 2 + 171 Reorder the terms for easier multiplication: 21 + 8x = 2x + 171 Reorder the terms: 21 + 8x = 171 + 2x Solving 21 + 8x = 171 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 8x + -2x = 171 + 2x + -2x Combine like terms: 8x + -2x = 6x 21 + 6x = 171 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 6x = 171 + 0 21 + 6x = 171 Add '-21' to each side of the equation. 21 + -21 + 6x = 171 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 171 + -21 6x = 171 + -21 Combine like terms: 171 + -21 = 150 6x = 150 Divide each side by '6'. x = 25 Simplifying x = 25
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