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Simplifying 12 + 0.05x = 6 + 0.1x Solving 12 + 0.05x = 6 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 12 + 0.05x + -0.1x = 6 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 12 + -0.05x = 6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 12 + -0.05x = 6 + 0.0 12 + -0.05x = 6 Add '-12' to each side of the equation. 12 + -12 + -0.05x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.05x = 6 + -12 -0.05x = 6 + -12 Combine like terms: 6 + -12 = -6 -0.05x = -6 Divide each side by '-0.05'. x = 120 Simplifying x = 120
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