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Simplifying -6(x + 4) + -11 = 12 + 7 Reorder the terms: -6(4 + x) + -11 = 12 + 7 (4 * -6 + x * -6) + -11 = 12 + 7 (-24 + -6x) + -11 = 12 + 7 Reorder the terms: -24 + -11 + -6x = 12 + 7 Combine like terms: -24 + -11 = -35 -35 + -6x = 12 + 7 Combine like terms: 12 + 7 = 19 -35 + -6x = 19 Solving -35 + -6x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6x = 19 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = 19 + 35 -6x = 19 + 35 Combine like terms: 19 + 35 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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