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Simplifying 3x + -6 = 54 + -7x Reorder the terms: -6 + 3x = 54 + -7x Solving -6 + 3x = 54 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 3x + 7x = 54 + -7x + 7x Combine like terms: 3x + 7x = 10x -6 + 10x = 54 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 10x = 54 + 0 -6 + 10x = 54 Add '6' to each side of the equation. -6 + 6 + 10x = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 54 + 6 10x = 54 + 6 Combine like terms: 54 + 6 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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