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Simplifying 0.05x * 0.2 = 0.006x * 0.2 + 7 Reorder the terms for easier multiplication: 0.05 * 0.2x = 0.006x * 0.2 + 7 Multiply 0.05 * 0.2 0.01x = 0.006x * 0.2 + 7 Reorder the terms for easier multiplication: 0.01x = 0.006 * 0.2x + 7 Multiply 0.006 * 0.2 0.01x = 0.0012x + 7 Reorder the terms: 0.01x = 7 + 0.0012x Solving 0.01x = 7 + 0.0012x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.0012x' to each side of the equation. 0.01x + -0.0012x = 7 + 0.0012x + -0.0012x Combine like terms: 0.01x + -0.0012x = 0.0088x 0.0088x = 7 + 0.0012x + -0.0012x Combine like terms: 0.0012x + -0.0012x = 0.0000 0.0088x = 7 + 0.0000 0.0088x = 7 Divide each side by '0.0088'. x = 795.4545455 Simplifying x = 795.4545455
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