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Simplifying -105 = 2x + -7(4x + -11) Reorder the terms: -105 = 2x + -7(-11 + 4x) -105 = 2x + (-11 * -7 + 4x * -7) -105 = 2x + (77 + -28x) Reorder the terms: -105 = 77 + 2x + -28x Combine like terms: 2x + -28x = -26x -105 = 77 + -26x Solving -105 = 77 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -105 + 26x = 77 + -26x + 26x Combine like terms: -26x + 26x = 0 -105 + 26x = 77 + 0 -105 + 26x = 77 Add '105' to each side of the equation. -105 + 105 + 26x = 77 + 105 Combine like terms: -105 + 105 = 0 0 + 26x = 77 + 105 26x = 77 + 105 Combine like terms: 77 + 105 = 182 26x = 182 Divide each side by '26'. x = 7 Simplifying x = 7
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