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Simplifying -6x + -126 = 42 + x Reorder the terms: -126 + -6x = 42 + x Solving -126 + -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. -126 + -6x + -1x = 42 + x + -1x Combine like terms: -6x + -1x = -7x -126 + -7x = 42 + x + -1x Combine like terms: x + -1x = 0 -126 + -7x = 42 + 0 -126 + -7x = 42 Add '126' to each side of the equation. -126 + 126 + -7x = 42 + 126 Combine like terms: -126 + 126 = 0 0 + -7x = 42 + 126 -7x = 42 + 126 Combine like terms: 42 + 126 = 168 -7x = 168 Divide each side by '-7'. x = -24 Simplifying x = -24
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