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Simplifying 3x + -42 = -4x + 7 Reorder the terms: -42 + 3x = -4x + 7 Reorder the terms: -42 + 3x = 7 + -4x Solving -42 + 3x = 7 + -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 = 7 + -4x + 4x Combine like terms: 3x + 4x = 7x -42 + 7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 7x = 7 + 0 -42 + 7x = 7 Add '42' to each side of the equation. -42 + 42 + 7x = 7 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 7 + 42 7x = 7 + 42 Combine like terms: 7 + 42 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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