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Simplifying 5(x + 2) + -1(6 + -7x) = 11x Reorder the terms: 5(2 + x) + -1(6 + -7x) = 11x (2 * 5 + x * 5) + -1(6 + -7x) = 11x (10 + 5x) + -1(6 + -7x) = 11x 10 + 5x + (6 * -1 + -7x * -1) = 11x 10 + 5x + (-6 + 7x) = 11x Reorder the terms: 10 + -6 + 5x + 7x = 11x Combine like terms: 10 + -6 = 4 4 + 5x + 7x = 11x Combine like terms: 5x + 7x = 12x 4 + 12x = 11x Solving 4 + 12x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 12x + -11x = 11x + -11x Combine like terms: 12x + -11x = 1x 4 + 1x = 11x + -11x Combine like terms: 11x + -11x = 0 4 + 1x = 0 Add '-4' to each side of the equation. 4 + -4 + 1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 0 + -4 1x = 0 + -4 Combine like terms: 0 + -4 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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