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Simplifying 0.05(7x + 36) = 0.4x + 6 Reorder the terms: 0.05(36 + 7x) = 0.4x + 6 (36 * 0.05 + 7x * 0.05) = 0.4x + 6 (1.8 + 0.35x) = 0.4x + 6 Reorder the terms: 1.8 + 0.35x = 6 + 0.4x Solving 1.8 + 0.35x = 6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1.8 + 0.35x + -0.4x = 6 + 0.4x + -0.4x Combine like terms: 0.35x + -0.4x = -0.05x 1.8 + -0.05x = 6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1.8 + -0.05x = 6 + 0.0 1.8 + -0.05x = 6 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.05x = 6 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.05x = 6 + -1.8 -0.05x = 6 + -1.8 Combine like terms: 6 + -1.8 = 4.2 -0.05x = 4.2 Divide each side by '-0.05'. x = -84 Simplifying x = -84
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