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Simplifying -138 + 6x = x + 42 Reorder the terms: -138 + 6x = 42 + x Solving -138 + 6x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -138 + 6x + -1x = 42 + x + -1x Combine like terms: 6x + -1x = 5x -138 + 5x = 42 + x + -1x Combine like terms: x + -1x = 0 -138 + 5x = 42 + 0 -138 + 5x = 42 Add '138' to each side of the equation. -138 + 138 + 5x = 42 + 138 Combine like terms: -138 + 138 = 0 0 + 5x = 42 + 138 5x = 42 + 138 Combine like terms: 42 + 138 = 180 5x = 180 Divide each side by '5'. x = 36 Simplifying x = 36
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