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Simplifying 0.08(15) + 0.4x = 0.05(36 + 7x) Multiply 0.08 * 15 1.2 + 0.4x = 0.05(36 + 7x) 1.2 + 0.4x = (36 * 0.05 + 7x * 0.05) 1.2 + 0.4x = (1.8 + 0.35x) Solving 1.2 + 0.4x = 1.8 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 1.2 + 0.4x + -0.35x = 1.8 + 0.35x + -0.35x Combine like terms: 0.4x + -0.35x = 0.05x 1.2 + 0.05x = 1.8 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 1.2 + 0.05x = 1.8 + 0.00 1.2 + 0.05x = 1.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.05x = 1.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.05x = 1.8 + -1.2 0.05x = 1.8 + -1.2 Combine like terms: 1.8 + -1.2 = 0.6 0.05x = 0.6 Divide each side by '0.05'. x = 12 Simplifying x = 12
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