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Simplifying -7(x + 1) + -17 = 20 + 5 Reorder the terms: -7(1 + x) + -17 = 20 + 5 (1 * -7 + x * -7) + -17 = 20 + 5 (-7 + -7x) + -17 = 20 + 5 Reorder the terms: -7 + -17 + -7x = 20 + 5 Combine like terms: -7 + -17 = -24 -24 + -7x = 20 + 5 Combine like terms: 20 + 5 = 25 -24 + -7x = 25 Solving -24 + -7x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -7x = 25 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 25 + 24 -7x = 25 + 24 Combine like terms: 25 + 24 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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