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Simplifying 500 + -2x = 4x + 100 Reorder the terms: 500 + -2x = 100 + 4x Solving 500 + -2x = 100 + 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. 500 + -2x + -4x = 100 + 4x + -4x Combine like terms: -2x + -4x = -6x 500 + -6x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 500 + -6x = 100 + 0 500 + -6x = 100 Add '-500' to each side of the equation. 500 + -500 + -6x = 100 + -500 Combine like terms: 500 + -500 = 0 0 + -6x = 100 + -500 -6x = 100 + -500 Combine like terms: 100 + -500 = -400 -6x = -400 Divide each side by '-6'. x = 66.66666667 Simplifying x = 66.66666667
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