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Simplifying 4x + 400 + -2x = 20x + -500 Reorder the terms: 400 + 4x + -2x = 20x + -500 Combine like terms: 4x + -2x = 2x 400 + 2x = 20x + -500 Reorder the terms: 400 + 2x = -500 + 20x Solving 400 + 2x = -500 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 400 + 2x + -20x = -500 + 20x + -20x Combine like terms: 2x + -20x = -18x 400 + -18x = -500 + 20x + -20x Combine like terms: 20x + -20x = 0 400 + -18x = -500 + 0 400 + -18x = -500 Add '-400' to each side of the equation. 400 + -400 + -18x = -500 + -400 Combine like terms: 400 + -400 = 0 0 + -18x = -500 + -400 -18x = -500 + -400 Combine like terms: -500 + -400 = -900 -18x = -900 Divide each side by '-18'. x = 50 Simplifying x = 50
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