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Simplifying -126 = 7x + -7(2x + 11) Reorder the terms: -126 = 7x + -7(11 + 2x) -126 = 7x + (11 * -7 + 2x * -7) -126 = 7x + (-77 + -14x) Reorder the terms: -126 = -77 + 7x + -14x Combine like terms: 7x + -14x = -7x -126 = -77 + -7x Solving -126 = -77 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -126 + 7x = -77 + -7x + 7x Combine like terms: -7x + 7x = 0 -126 + 7x = -77 + 0 -126 + 7x = -77 Add '126' to each side of the equation. -126 + 126 + 7x = -77 + 126 Combine like terms: -126 + 126 = 0 0 + 7x = -77 + 126 7x = -77 + 126 Combine like terms: -77 + 126 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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