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Simplifying -32 + 6x = 38 + -1x Solving -32 + 6x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -32 + 6x + x = 38 + -1x + x Combine like terms: 6x + x = 7x -32 + 7x = 38 + -1x + x Combine like terms: -1x + x = 0 -32 + 7x = 38 + 0 -32 + 7x = 38 Add '32' to each side of the equation. -32 + 32 + 7x = 38 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = 38 + 32 7x = 38 + 32 Combine like terms: 38 + 32 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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