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Simplifying -6(x + 2) + -11 = 24 + 7 Reorder the terms: -6(2 + x) + -11 = 24 + 7 (2 * -6 + x * -6) + -11 = 24 + 7 (-12 + -6x) + -11 = 24 + 7 Reorder the terms: -12 + -11 + -6x = 24 + 7 Combine like terms: -12 + -11 = -23 -23 + -6x = 24 + 7 Combine like terms: 24 + 7 = 31 -23 + -6x = 31 Solving -23 + -6x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -6x = 31 + 23 Combine like terms: -23 + 23 = 0 0 + -6x = 31 + 23 -6x = 31 + 23 Combine like terms: 31 + 23 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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