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Simplifying -32 + 10x = 6x + 76 Reorder the terms: -32 + 10x = 76 + 6x Solving -32 + 10x = 76 + 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. -32 + 10x + -6x = 76 + 6x + -6x Combine like terms: 10x + -6x = 4x -32 + 4x = 76 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 4x = 76 + 0 -32 + 4x = 76 Add '32' to each side of the equation. -32 + 32 + 4x = 76 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 76 + 32 4x = 76 + 32 Combine like terms: 76 + 32 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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