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Simplifying -42 = x + -4x + -6 Reorder the terms: -42 = -6 + x + -4x Combine like terms: x + -4x = -3x -42 = -6 + -3x Solving -42 = -6 + -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 + 3x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 3x = -6 + 0 -42 + 3x = -6 Add '42' to each side of the equation. -42 + 42 + 3x = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -6 + 42 3x = -6 + 42 Combine like terms: -6 + 42 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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