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Simplifying 7 + 8x + -39 = 6x + 32 + -10x Reorder the terms: 7 + -39 + 8x = 6x + 32 + -10x Combine like terms: 7 + -39 = -32 -32 + 8x = 6x + 32 + -10x Reorder the terms: -32 + 8x = 32 + 6x + -10x Combine like terms: 6x + -10x = -4x -32 + 8x = 32 + -4x Solving -32 + 8x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -32 + 8x + 4x = 32 + -4x + 4x Combine like terms: 8x + 4x = 12x -32 + 12x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 12x = 32 + 0 -32 + 12x = 32 Add '32' to each side of the equation. -32 + 32 + 12x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 32 + 32 12x = 32 + 32 Combine like terms: 32 + 32 = 64 12x = 64 Divide each side by '12'. x = 5.333333333 Simplifying x = 5.333333333
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