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Simplifying -3(x + 8) + -43 = 6 + -46 Reorder the terms: -3(8 + x) + -43 = 6 + -46 (8 * -3 + x * -3) + -43 = 6 + -46 (-24 + -3x) + -43 = 6 + -46 Reorder the terms: -24 + -43 + -3x = 6 + -46 Combine like terms: -24 + -43 = -67 -67 + -3x = 6 + -46 Combine like terms: 6 + -46 = -40 -67 + -3x = -40 Solving -67 + -3x = -40 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 + -3x = -40 + 67 Combine like terms: -67 + 67 = 0 0 + -3x = -40 + 67 -3x = -40 + 67 Combine like terms: -40 + 67 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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