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Simplifying -6x + 52 = 8x + -32 Reorder the terms: 52 + -6x = 8x + -32 Reorder the terms: 52 + -6x = -32 + 8x Solving 52 + -6x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + -6x + -8x = -32 + 8x + -8x Combine like terms: -6x + -8x = -14x 52 + -14x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -14x = -32 + 0 52 + -14x = -32 Add '-52' to each side of the equation. 52 + -52 + -14x = -32 + -52 Combine like terms: 52 + -52 = 0 0 + -14x = -32 + -52 -14x = -32 + -52 Combine like terms: -32 + -52 = -84 -14x = -84 Divide each side by '-14'. x = 6 Simplifying x = 6
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