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