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Simplifying -11(-1 + -1x) + -6x = 7(x + 1) (-1 * -11 + -1x * -11) + -6x = 7(x + 1) (11 + 11x) + -6x = 7(x + 1) Combine like terms: 11x + -6x = 5x 11 + 5x = 7(x + 1) Reorder the terms: 11 + 5x = 7(1 + x) 11 + 5x = (1 * 7 + x * 7) 11 + 5x = (7 + 7x) Solving 11 + 5x = 7 + 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. 11 + 5x + -7x = 7 + 7x + -7x Combine like terms: 5x + -7x = -2x 11 + -2x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -2x = 7 + 0 11 + -2x = 7 Add '-11' to each side of the equation. 11 + -11 + -2x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 7 + -11 -2x = 7 + -11 Combine like terms: 7 + -11 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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