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Simplifying -7x + 6 = -1x + 42 Reorder the terms: 6 + -7x = -1x + 42 Reorder the terms: 6 + -7x = 42 + -1x Solving 6 + -7x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + -7x + x = 42 + -1x + x Combine like terms: -7x + x = -6x 6 + -6x = 42 + -1x + x Combine like terms: -1x + x = 0 6 + -6x = 42 + 0 6 + -6x = 42 Add '-6' to each side of the equation. 6 + -6 + -6x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 42 + -6 -6x = 42 + -6 Combine like terms: 42 + -6 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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