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