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Simplifying 100x = 10(160 + x) 100x = (160 * 10 + x * 10) 100x = (1600 + 10x) Solving 100x = 1600 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100x + -10x = 1600 + 10x + -10x Combine like terms: 100x + -10x = 90x 90x = 1600 + 10x + -10x Combine like terms: 10x + -10x = 0 90x = 1600 + 0 90x = 1600 Divide each side by '90'. x = 17.77777778 Simplifying x = 17.77777778
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