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Simplifying -42 + -2x = 6 + -6x Solving -42 + -2x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -42 + -2x + 6x = 6 + -6x + 6x Combine like terms: -2x + 6x = 4x -42 + 4x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 4x = 6 + 0 -42 + 4x = 6 Add '42' to each side of the equation. -42 + 42 + 4x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 6 + 42 4x = 6 + 42 Combine like terms: 6 + 42 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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