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Simplifying -52 + -1x = 6x + 39 Reorder the terms: -52 + -1x = 39 + 6x Solving -52 + -1x = 39 + 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. -52 + -1x + -6x = 39 + 6x + -6x Combine like terms: -1x + -6x = -7x -52 + -7x = 39 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + -7x = 39 + 0 -52 + -7x = 39 Add '52' to each side of the equation. -52 + 52 + -7x = 39 + 52 Combine like terms: -52 + 52 = 0 0 + -7x = 39 + 52 -7x = 39 + 52 Combine like terms: 39 + 52 = 91 -7x = 91 Divide each side by '-7'. x = -13 Simplifying x = -13
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