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Simplifying -42 = 7(1 + -7x) -42 = (1 * 7 + -7x * 7) -42 = (7 + -49x) Solving -42 = 7 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. -42 + 49x = 7 + -49x + 49x Combine like terms: -49x + 49x = 0 -42 + 49x = 7 + 0 -42 + 49x = 7 Add '42' to each side of the equation. -42 + 42 + 49x = 7 + 42 Combine like terms: -42 + 42 = 0 0 + 49x = 7 + 42 49x = 7 + 42 Combine like terms: 7 + 42 = 49 49x = 49 Divide each side by '49'. x = 1 Simplifying x = 1
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