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Simplifying -4(x + 7) + -45 = 3 + -52 Reorder the terms: -4(7 + x) + -45 = 3 + -52 (7 * -4 + x * -4) + -45 = 3 + -52 (-28 + -4x) + -45 = 3 + -52 Reorder the terms: -28 + -45 + -4x = 3 + -52 Combine like terms: -28 + -45 = -73 -73 + -4x = 3 + -52 Combine like terms: 3 + -52 = -49 -73 + -4x = -49 Solving -73 + -4x = -49 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 + -4x = -49 + 73 Combine like terms: -73 + 73 = 0 0 + -4x = -49 + 73 -4x = -49 + 73 Combine like terms: -49 + 73 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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