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Simplifying 7x + -6 = 5x + 42 Reorder the terms: -6 + 7x = 5x + 42 Reorder the terms: -6 + 7x = 42 + 5x Solving -6 + 7x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 7x + -5x = 42 + 5x + -5x Combine like terms: 7x + -5x = 2x -6 + 2x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 2x = 42 + 0 -6 + 2x = 42 Add '6' to each side of the equation. -6 + 6 + 2x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 42 + 6 2x = 42 + 6 Combine like terms: 42 + 6 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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