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Simplifying 0.04(50) + 0.16x = 0.08(x + 50) Multiply 0.04 * 50 2 + 0.16x = 0.08(x + 50) Reorder the terms: 2 + 0.16x = 0.08(50 + x) 2 + 0.16x = (50 * 0.08 + x * 0.08) 2 + 0.16x = (4 + 0.08x) Solving 2 + 0.16x = 4 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 2 + 0.16x + -0.08x = 4 + 0.08x + -0.08x Combine like terms: 0.16x + -0.08x = 0.08x 2 + 0.08x = 4 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2 + 0.08x = 4 + 0.00 2 + 0.08x = 4 Add '-2' to each side of the equation. 2 + -2 + 0.08x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 0.08x = 4 + -2 0.08x = 4 + -2 Combine like terms: 4 + -2 = 2 0.08x = 2 Divide each side by '0.08'. x = 25 Simplifying x = 25
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