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Simplifying -138 + -8x = 7x + 42 Reorder the terms: -138 + -8x = 42 + 7x Solving -138 + -8x = 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. -138 + -8x + -7x = 42 + 7x + -7x Combine like terms: -8x + -7x = -15x -138 + -15x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -138 + -15x = 42 + 0 -138 + -15x = 42 Add '138' to each side of the equation. -138 + 138 + -15x = 42 + 138 Combine like terms: -138 + 138 = 0 0 + -15x = 42 + 138 -15x = 42 + 138 Combine like terms: 42 + 138 = 180 -15x = 180 Divide each side by '-15'. x = -12 Simplifying x = -12
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