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Simplifying 6x + 71 = 12x + 11 Reorder the terms: 71 + 6x = 12x + 11 Reorder the terms: 71 + 6x = 11 + 12x Solving 71 + 6x = 11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 71 + 6x + -12x = 11 + 12x + -12x Combine like terms: 6x + -12x = -6x 71 + -6x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 71 + -6x = 11 + 0 71 + -6x = 11 Add '-71' to each side of the equation. 71 + -71 + -6x = 11 + -71 Combine like terms: 71 + -71 = 0 0 + -6x = 11 + -71 -6x = 11 + -71 Combine like terms: 11 + -71 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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