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