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Simplifying 6 + -8(5 + x) = -22 + -4x 6 + (5 * -8 + x * -8) = -22 + -4x 6 + (-40 + -8x) = -22 + -4x Combine like terms: 6 + -40 = -34 -34 + -8x = -22 + -4x Solving -34 + -8x = -22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -34 + -8x + 4x = -22 + -4x + 4x Combine like terms: -8x + 4x = -4x -34 + -4x = -22 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + -4x = -22 + 0 -34 + -4x = -22 Add '34' to each side of the equation. -34 + 34 + -4x = -22 + 34 Combine like terms: -34 + 34 = 0 0 + -4x = -22 + 34 -4x = -22 + 34 Combine like terms: -22 + 34 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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