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Simplifying (x + 7) * 0.05 + 0.4 = 0.1x Reorder the terms: (7 + x) * 0.05 + 0.4 = 0.1x Reorder the terms for easier multiplication: 0.05(7 + x) + 0.4 = 0.1x (7 * 0.05 + x * 0.05) + 0.4 = 0.1x (0.35 + 0.05x) + 0.4 = 0.1x Reorder the terms: 0.35 + 0.4 + 0.05x = 0.1x Combine like terms: 0.35 + 0.4 = 0.75 0.75 + 0.05x = 0.1x Solving 0.75 + 0.05x = 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. 0.75 + 0.05x + -0.1x = 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 0.75 + -0.05x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.75 + -0.05x = 0.0 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.05x = 0.0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.05x = 0.0 + -0.75 -0.05x = 0.0 + -0.75 Combine like terms: 0.0 + -0.75 = -0.75 -0.05x = -0.75 Divide each side by '-0.05'. x = 15 Simplifying x = 15
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