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Simplifying -5x + 6 = -71 + 6x Reorder the terms: 6 + -5x = -71 + 6x Solving 6 + -5x = -71 + 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. 6 + -5x + -6x = -71 + 6x + -6x Combine like terms: -5x + -6x = -11x 6 + -11x = -71 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -11x = -71 + 0 6 + -11x = -71 Add '-6' to each side of the equation. 6 + -6 + -11x = -71 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -71 + -6 -11x = -71 + -6 Combine like terms: -71 + -6 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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