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