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Simplifying -7(x + 5) + -44 = 8 + -38 Reorder the terms: -7(5 + x) + -44 = 8 + -38 (5 * -7 + x * -7) + -44 = 8 + -38 (-35 + -7x) + -44 = 8 + -38 Reorder the terms: -35 + -44 + -7x = 8 + -38 Combine like terms: -35 + -44 = -79 -79 + -7x = 8 + -38 Combine like terms: 8 + -38 = -30 -79 + -7x = -30 Solving -79 + -7x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + -7x = -30 + 79 Combine like terms: -79 + 79 = 0 0 + -7x = -30 + 79 -7x = -30 + 79 Combine like terms: -30 + 79 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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