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Simplifying 8(x + -5) = -4(x + 8) Reorder the terms: 8(-5 + x) = -4(x + 8) (-5 * 8 + x * 8) = -4(x + 8) (-40 + 8x) = -4(x + 8) Reorder the terms: -40 + 8x = -4(8 + x) -40 + 8x = (8 * -4 + x * -4) -40 + 8x = (-32 + -4x) Solving -40 + 8x = -32 + -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. -40 + 8x + 4x = -32 + -4x + 4x Combine like terms: 8x + 4x = 12x -40 + 12x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -40 + 12x = -32 + 0 -40 + 12x = -32 Add '40' to each side of the equation. -40 + 40 + 12x = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 12x = -32 + 40 12x = -32 + 40 Combine like terms: -32 + 40 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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