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Simplifying 5(x + 1) + 2(11 + -1x) = -6 Reorder the terms: 5(1 + x) + 2(11 + -1x) = -6 (1 * 5 + x * 5) + 2(11 + -1x) = -6 (5 + 5x) + 2(11 + -1x) = -6 5 + 5x + (11 * 2 + -1x * 2) = -6 5 + 5x + (22 + -2x) = -6 Reorder the terms: 5 + 22 + 5x + -2x = -6 Combine like terms: 5 + 22 = 27 27 + 5x + -2x = -6 Combine like terms: 5x + -2x = 3x 27 + 3x = -6 Solving 27 + 3x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = -6 + -27 3x = -6 + -27 Combine like terms: -6 + -27 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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