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Simplifying -5(8 + x) = -38 + -8x (8 * -5 + x * -5) = -38 + -8x (-40 + -5x) = -38 + -8x Solving -40 + -5x = -38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + -5x + 8x = -38 + -8x + 8x Combine like terms: -5x + 8x = 3x -40 + 3x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + 3x = -38 + 0 -40 + 3x = -38 Add '40' to each side of the equation. -40 + 40 + 3x = -38 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -38 + 40 3x = -38 + 40 Combine like terms: -38 + 40 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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