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Simplifying -42 + x = -3x + 78 Reorder the terms: -42 + x = 78 + -3x Solving -42 + x = 78 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -42 + x + 3x = 78 + -3x + 3x Combine like terms: x + 3x = 4x -42 + 4x = 78 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 4x = 78 + 0 -42 + 4x = 78 Add '42' to each side of the equation. -42 + 42 + 4x = 78 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 78 + 42 4x = 78 + 42 Combine like terms: 78 + 42 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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