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Simplifying -4(x + 7) + -43 = 5 + -52 Reorder the terms: -4(7 + x) + -43 = 5 + -52 (7 * -4 + x * -4) + -43 = 5 + -52 (-28 + -4x) + -43 = 5 + -52 Reorder the terms: -28 + -43 + -4x = 5 + -52 Combine like terms: -28 + -43 = -71 -71 + -4x = 5 + -52 Combine like terms: 5 + -52 = -47 -71 + -4x = -47 Solving -71 + -4x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + -4x = -47 + 71 Combine like terms: -71 + 71 = 0 0 + -4x = -47 + 71 -4x = -47 + 71 Combine like terms: -47 + 71 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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