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Simplifying -105 = -7(1 + -7x) -105 = (1 * -7 + -7x * -7) -105 = (-7 + 49x) Solving -105 = -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. -105 + -49x = -7 + 49x + -49x Combine like terms: 49x + -49x = 0 -105 + -49x = -7 + 0 -105 + -49x = -7 Add '105' to each side of the equation. -105 + 105 + -49x = -7 + 105 Combine like terms: -105 + 105 = 0 0 + -49x = -7 + 105 -49x = -7 + 105 Combine like terms: -7 + 105 = 98 -49x = 98 Divide each side by '-49'. x = -2 Simplifying x = -2
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