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Simplifying 0.08(x + 5) = 0.04(2x + 6) + 0.16 Reorder the terms: 0.08(5 + x) = 0.04(2x + 6) + 0.16 (5 * 0.08 + x * 0.08) = 0.04(2x + 6) + 0.16 (0.4 + 0.08x) = 0.04(2x + 6) + 0.16 Reorder the terms: 0.4 + 0.08x = 0.04(6 + 2x) + 0.16 0.4 + 0.08x = (6 * 0.04 + 2x * 0.04) + 0.16 0.4 + 0.08x = (0.24 + 0.08x) + 0.16 Reorder the terms: 0.4 + 0.08x = 0.24 + 0.16 + 0.08x Combine like terms: 0.24 + 0.16 = 0.4 0.4 + 0.08x = 0.4 + 0.08x Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.08x = 0.4 + -0.4 + 0.08x Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.08x = 0.4 + -0.4 + 0.08x 0.08x = 0.4 + -0.4 + 0.08x Combine like terms: 0.4 + -0.4 = 0.0 0.08x = 0.0 + 0.08x 0.08x = 0.08x Add '-0.08x' to each side of the equation. 0.08x + -0.08x = 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.00 = 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.00 = 0.00 Solving 0.00 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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