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Simplifying 0.1x + 0.01 = 0.01x + 0.1 Reorder the terms: 0.01 + 0.1x = 0.01x + 0.1 Reorder the terms: 0.01 + 0.1x = 0.1 + 0.01x Solving 0.01 + 0.1x = 0.1 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 0.01 + 0.1x + -0.01x = 0.1 + 0.01x + -0.01x Combine like terms: 0.1x + -0.01x = 0.09x 0.01 + 0.09x = 0.1 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 0.01 + 0.09x = 0.1 + 0.00 0.01 + 0.09x = 0.1 Add '-0.01' to each side of the equation. 0.01 + -0.01 + 0.09x = 0.1 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + 0.09x = 0.1 + -0.01 0.09x = 0.1 + -0.01 Combine like terms: 0.1 + -0.01 = 0.09 0.09x = 0.09 Divide each side by '0.09'. x = 1 Simplifying x = 1
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