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Simplifying 7(1 + -1x) = 42 (1 * 7 + -1x * 7) = 42 (7 + -7x) = 42 Solving 7 + -7x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7x = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 42 + -7 -7x = 42 + -7 Combine like terms: 42 + -7 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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