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Simplifying 4x + 5(100 + -1x) = 480 4x + (100 * 5 + -1x * 5) = 480 4x + (500 + -5x) = 480 Reorder the terms: 500 + 4x + -5x = 480 Combine like terms: 4x + -5x = -1x 500 + -1x = 480 Solving 500 + -1x = 480 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -1x = 480 + -500 Combine like terms: 500 + -500 = 0 0 + -1x = 480 + -500 -1x = 480 + -500 Combine like terms: 480 + -500 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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