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Simplifying -8(x + 5) + -1(3 + -4x) = -67 Reorder the terms: -8(5 + x) + -1(3 + -4x) = -67 (5 * -8 + x * -8) + -1(3 + -4x) = -67 (-40 + -8x) + -1(3 + -4x) = -67 -40 + -8x + (3 * -1 + -4x * -1) = -67 -40 + -8x + (-3 + 4x) = -67 Reorder the terms: -40 + -3 + -8x + 4x = -67 Combine like terms: -40 + -3 = -43 -43 + -8x + 4x = -67 Combine like terms: -8x + 4x = -4x -43 + -4x = -67 Solving -43 + -4x = -67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -4x = -67 + 43 Combine like terms: -43 + 43 = 0 0 + -4x = -67 + 43 -4x = -67 + 43 Combine like terms: -67 + 43 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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