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Simplifying 42 + -5x = -120 + -7x Solving 42 + -5x = -120 + -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. 42 + -5x + 7x = -120 + -7x + 7x Combine like terms: -5x + 7x = 2x 42 + 2x = -120 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 2x = -120 + 0 42 + 2x = -120 Add '-42' to each side of the equation. 42 + -42 + 2x = -120 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = -120 + -42 2x = -120 + -42 Combine like terms: -120 + -42 = -162 2x = -162 Divide each side by '2'. x = -81 Simplifying x = -81
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