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Simplifying 10x + -80 = 11x + -500 Reorder the terms: -80 + 10x = 11x + -500 Reorder the terms: -80 + 10x = -500 + 11x Solving -80 + 10x = -500 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -80 + 10x + -11x = -500 + 11x + -11x Combine like terms: 10x + -11x = -1x -80 + -1x = -500 + 11x + -11x Combine like terms: 11x + -11x = 0 -80 + -1x = -500 + 0 -80 + -1x = -500 Add '80' to each side of the equation. -80 + 80 + -1x = -500 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = -500 + 80 -1x = -500 + 80 Combine like terms: -500 + 80 = -420 -1x = -420 Divide each side by '-1'. x = 420 Simplifying x = 420
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