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Simplifying -4(x + 6) + -43 = 1 + -32 Reorder the terms: -4(6 + x) + -43 = 1 + -32 (6 * -4 + x * -4) + -43 = 1 + -32 (-24 + -4x) + -43 = 1 + -32 Reorder the terms: -24 + -43 + -4x = 1 + -32 Combine like terms: -24 + -43 = -67 -67 + -4x = 1 + -32 Combine like terms: 1 + -32 = -31 -67 + -4x = -31 Solving -67 + -4x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + -4x = -31 + 67 Combine like terms: -67 + 67 = 0 0 + -4x = -31 + 67 -4x = -31 + 67 Combine like terms: -31 + 67 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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