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Simplifying 7x + -2 = 32 + -3x Reorder the terms: -2 + 7x = 32 + -3x Solving -2 + 7x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 7x + 3x = 32 + -3x + 3x Combine like terms: 7x + 3x = 10x -2 + 10x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 10x = 32 + 0 -2 + 10x = 32 Add '2' to each side of the equation. -2 + 2 + 10x = 32 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 32 + 2 10x = 32 + 2 Combine like terms: 32 + 2 = 34 10x = 34 Divide each side by '10'. x = 3.4 Simplifying x = 3.4
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