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Simplifying -4(x + 8) + -43 = 3 + -42 Reorder the terms: -4(8 + x) + -43 = 3 + -42 (8 * -4 + x * -4) + -43 = 3 + -42 (-32 + -4x) + -43 = 3 + -42 Reorder the terms: -32 + -43 + -4x = 3 + -42 Combine like terms: -32 + -43 = -75 -75 + -4x = 3 + -42 Combine like terms: 3 + -42 = -39 -75 + -4x = -39 Solving -75 + -4x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -4x = -39 + 75 Combine like terms: -75 + 75 = 0 0 + -4x = -39 + 75 -4x = -39 + 75 Combine like terms: -39 + 75 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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