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Simplifying 11x + -1(3x + -11) = 5 + 7x Reorder the terms: 11x + -1(-11 + 3x) = 5 + 7x 11x + (-11 * -1 + 3x * -1) = 5 + 7x 11x + (11 + -3x) = 5 + 7x Reorder the terms: 11 + 11x + -3x = 5 + 7x Combine like terms: 11x + -3x = 8x 11 + 8x = 5 + 7x Solving 11 + 8x = 5 + 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 + 8x + -7x = 5 + 7x + -7x Combine like terms: 8x + -7x = 1x 11 + 1x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 1x = 5 + 0 11 + 1x = 5 Add '-11' to each side of the equation. 11 + -11 + 1x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 5 + -11 1x = 5 + -11 Combine like terms: 5 + -11 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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