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Simplifying -2x + 42 = -138 + 7x Reorder the terms: 42 + -2x = -138 + 7x Solving 42 + -2x = -138 + 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 + -2x + -7x = -138 + 7x + -7x Combine like terms: -2x + -7x = -9x 42 + -9x = -138 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -9x = -138 + 0 42 + -9x = -138 Add '-42' to each side of the equation. 42 + -42 + -9x = -138 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = -138 + -42 -9x = -138 + -42 Combine like terms: -138 + -42 = -180 -9x = -180 Divide each side by '-9'. x = 20 Simplifying x = 20
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