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Simplifying 71 + -6x = 6x + 21 Reorder the terms: 71 + -6x = 21 + 6x Solving 71 + -6x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 71 + -6x + -6x = 21 + 6x + -6x Combine like terms: -6x + -6x = -12x 71 + -12x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 71 + -12x = 21 + 0 71 + -12x = 21 Add '-71' to each side of the equation. 71 + -71 + -12x = 21 + -71 Combine like terms: 71 + -71 = 0 0 + -12x = 21 + -71 -12x = 21 + -71 Combine like terms: 21 + -71 = -50 -12x = -50 Divide each side by '-12'. x = 4.166666667 Simplifying x = 4.166666667
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