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Simplifying -6(x + 7) + -44 = 2 + -40 Reorder the terms: -6(7 + x) + -44 = 2 + -40 (7 * -6 + x * -6) + -44 = 2 + -40 (-42 + -6x) + -44 = 2 + -40 Reorder the terms: -42 + -44 + -6x = 2 + -40 Combine like terms: -42 + -44 = -86 -86 + -6x = 2 + -40 Combine like terms: 2 + -40 = -38 -86 + -6x = -38 Solving -86 + -6x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + -6x = -38 + 86 Combine like terms: -86 + 86 = 0 0 + -6x = -38 + 86 -6x = -38 + 86 Combine like terms: -38 + 86 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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