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Simplifying 10 + 200x = 1000 + 101x Solving 10 + 200x = 1000 + 101x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-101x' to each side of the equation. 10 + 200x + -101x = 1000 + 101x + -101x Combine like terms: 200x + -101x = 99x 10 + 99x = 1000 + 101x + -101x Combine like terms: 101x + -101x = 0 10 + 99x = 1000 + 0 10 + 99x = 1000 Add '-10' to each side of the equation. 10 + -10 + 99x = 1000 + -10 Combine like terms: 10 + -10 = 0 0 + 99x = 1000 + -10 99x = 1000 + -10 Combine like terms: 1000 + -10 = 990 99x = 990 Divide each side by '99'. x = 10 Simplifying x = 10
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