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Simplifying -6(x + 1) + -11 = 12 + 7 Reorder the terms: -6(1 + x) + -11 = 12 + 7 (1 * -6 + x * -6) + -11 = 12 + 7 (-6 + -6x) + -11 = 12 + 7 Reorder the terms: -6 + -11 + -6x = 12 + 7 Combine like terms: -6 + -11 = -17 -17 + -6x = 12 + 7 Combine like terms: 12 + 7 = 19 -17 + -6x = 19 Solving -17 + -6x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 19 + 17 -6x = 19 + 17 Combine like terms: 19 + 17 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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