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Simplifying 5 + 10(90 + -1x) = 500 5 + (90 * 10 + -1x * 10) = 500 5 + (900 + -10x) = 500 Combine like terms: 5 + 900 = 905 905 + -10x = 500 Solving 905 + -10x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-905' to each side of the equation. 905 + -905 + -10x = 500 + -905 Combine like terms: 905 + -905 = 0 0 + -10x = 500 + -905 -10x = 500 + -905 Combine like terms: 500 + -905 = -405 -10x = -405 Divide each side by '-10'. x = 40.5 Simplifying x = 40.5
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