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Simplifying -42 + -7x = -3x + 46 Reorder the terms: -42 + -7x = 46 + -3x Solving -42 + -7x = 46 + -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 + -7x + 3x = 46 + -3x + 3x Combine like terms: -7x + 3x = -4x -42 + -4x = 46 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + -4x = 46 + 0 -42 + -4x = 46 Add '42' to each side of the equation. -42 + 42 + -4x = 46 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 46 + 42 -4x = 46 + 42 Combine like terms: 46 + 42 = 88 -4x = 88 Divide each side by '-4'. x = -22 Simplifying x = -22
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