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Simplifying -7(x + 4) + -45 = 5 + -22 Reorder the terms: -7(4 + x) + -45 = 5 + -22 (4 * -7 + x * -7) + -45 = 5 + -22 (-28 + -7x) + -45 = 5 + -22 Reorder the terms: -28 + -45 + -7x = 5 + -22 Combine like terms: -28 + -45 = -73 -73 + -7x = 5 + -22 Combine like terms: 5 + -22 = -17 -73 + -7x = -17 Solving -73 + -7x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + -7x = -17 + 73 Combine like terms: -73 + 73 = 0 0 + -7x = -17 + 73 -7x = -17 + 73 Combine like terms: -17 + 73 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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