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Simplifying -4x + -2 = 7x + 42 Reorder the terms: -2 + -4x = 7x + 42 Reorder the terms: -2 + -4x = 42 + 7x Solving -2 + -4x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -4x + -7x = 42 + 7x + -7x Combine like terms: -4x + -7x = -11x -2 + -11x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -11x = 42 + 0 -2 + -11x = 42 Add '2' to each side of the equation. -2 + 2 + -11x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = 42 + 2 -11x = 42 + 2 Combine like terms: 42 + 2 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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