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Simplifying 0.8(500 + -1x) = 4x (500 * 0.8 + -1x * 0.8) = 4x (400 + -0.8x) = 4x Solving 400 + -0.8x = 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. 400 + -0.8x + -4x = 4x + -4x Combine like terms: -0.8x + -4x = -4.8x 400 + -4.8x = 4x + -4x Combine like terms: 4x + -4x = 0 400 + -4.8x = 0 Add '-400' to each side of the equation. 400 + -400 + -4.8x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -4.8x = 0 + -400 -4.8x = 0 + -400 Combine like terms: 0 + -400 = -400 -4.8x = -400 Divide each side by '-4.8'. x = 83.33333333 Simplifying x = 83.33333333
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