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Simplifying 900 = 10x + 5(100 + -1x) 900 = 10x + (100 * 5 + -1x * 5) 900 = 10x + (500 + -5x) Reorder the terms: 900 = 500 + 10x + -5x Combine like terms: 10x + -5x = 5x 900 = 500 + 5x Solving 900 = 500 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 900 + -5x = 500 + 5x + -5x Combine like terms: 5x + -5x = 0 900 + -5x = 500 + 0 900 + -5x = 500 Add '-900' to each side of the equation. 900 + -900 + -5x = 500 + -900 Combine like terms: 900 + -900 = 0 0 + -5x = 500 + -900 -5x = 500 + -900 Combine like terms: 500 + -900 = -400 -5x = -400 Divide each side by '-5'. x = 80 Simplifying x = 80
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