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Simplifying 71 + -2x = 8x + 21 Reorder the terms: 71 + -2x = 21 + 8x Solving 71 + -2x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 71 + -2x + -8x = 21 + 8x + -8x Combine like terms: -2x + -8x = -10x 71 + -10x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 71 + -10x = 21 + 0 71 + -10x = 21 Add '-71' to each side of the equation. 71 + -71 + -10x = 21 + -71 Combine like terms: 71 + -71 = 0 0 + -10x = 21 + -71 -10x = 21 + -71 Combine like terms: 21 + -71 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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