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Simplifying -1x + 4 = 6x + 81 Reorder the terms: 4 + -1x = 6x + 81 Reorder the terms: 4 + -1x = 81 + 6x Solving 4 + -1x = 81 + 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. 4 + -1x + -6x = 81 + 6x + -6x Combine like terms: -1x + -6x = -7x 4 + -7x = 81 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -7x = 81 + 0 4 + -7x = 81 Add '-4' to each side of the equation. 4 + -4 + -7x = 81 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 81 + -4 -7x = 81 + -4 Combine like terms: 81 + -4 = 77 -7x = 77 Divide each side by '-7'. x = -11 Simplifying x = -11
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