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Simplifying 5x + 10(90 + -1x) = 500 5x + (90 * 10 + -1x * 10) = 500 5x + (900 + -10x) = 500 Reorder the terms: 900 + 5x + -10x = 500 Combine like terms: 5x + -10x = -5x 900 + -5x = 500 Solving 900 + -5x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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