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Simplifying 0.5(x + -80) = 5 + 8x Reorder the terms: 0.5(-80 + x) = 5 + 8x (-80 * 0.5 + x * 0.5) = 5 + 8x (-40 + 0.5x) = 5 + 8x Solving -40 + 0.5x = 5 + 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 + 0.5x + -8x = 5 + 8x + -8x Combine like terms: 0.5x + -8x = -7.5x -40 + -7.5x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + -7.5x = 5 + 0 -40 + -7.5x = 5 Add '40' to each side of the equation. -40 + 40 + -7.5x = 5 + 40 Combine like terms: -40 + 40 = 0 0 + -7.5x = 5 + 40 -7.5x = 5 + 40 Combine like terms: 5 + 40 = 45 -7.5x = 45 Divide each side by '-7.5'. x = -6 Simplifying x = -6
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