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Simplifying 3x = -4x + 42 Reorder the terms: 3x = 42 + -4x Solving 3x = 42 + -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. 3x + 4x = 42 + -4x + 4x Combine like terms: 3x + 4x = 7x 7x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 7x = 42 + 0 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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