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Simplifying -5(x + 8) + -43 = 6 + -44 Reorder the terms: -5(8 + x) + -43 = 6 + -44 (8 * -5 + x * -5) + -43 = 6 + -44 (-40 + -5x) + -43 = 6 + -44 Reorder the terms: -40 + -43 + -5x = 6 + -44 Combine like terms: -40 + -43 = -83 -83 + -5x = 6 + -44 Combine like terms: 6 + -44 = -38 -83 + -5x = -38 Solving -83 + -5x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + -5x = -38 + 83 Combine like terms: -83 + 83 = 0 0 + -5x = -38 + 83 -5x = -38 + 83 Combine like terms: -38 + 83 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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