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Simplifying -4(x + 7) + -43 = 6 + -45 Reorder the terms: -4(7 + x) + -43 = 6 + -45 (7 * -4 + x * -4) + -43 = 6 + -45 (-28 + -4x) + -43 = 6 + -45 Reorder the terms: -28 + -43 + -4x = 6 + -45 Combine like terms: -28 + -43 = -71 -71 + -4x = 6 + -45 Combine like terms: 6 + -45 = -39 -71 + -4x = -39 Solving -71 + -4x = -39 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 = -39 + 71 Combine like terms: -71 + 71 = 0 0 + -4x = -39 + 71 -4x = -39 + 71 Combine like terms: -39 + 71 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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