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Simplifying 0.08(x + 8) = 0.04(2x + 5) + 0.44 Reorder the terms: 0.08(8 + x) = 0.04(2x + 5) + 0.44 (8 * 0.08 + x * 0.08) = 0.04(2x + 5) + 0.44 (0.64 + 0.08x) = 0.04(2x + 5) + 0.44 Reorder the terms: 0.64 + 0.08x = 0.04(5 + 2x) + 0.44 0.64 + 0.08x = (5 * 0.04 + 2x * 0.04) + 0.44 0.64 + 0.08x = (0.2 + 0.08x) + 0.44 Reorder the terms: 0.64 + 0.08x = 0.2 + 0.44 + 0.08x Combine like terms: 0.2 + 0.44 = 0.64 0.64 + 0.08x = 0.64 + 0.08x Add '-0.64' to each side of the equation. 0.64 + -0.64 + 0.08x = 0.64 + -0.64 + 0.08x Combine like terms: 0.64 + -0.64 = 0.00 0.00 + 0.08x = 0.64 + -0.64 + 0.08x 0.08x = 0.64 + -0.64 + 0.08x Combine like terms: 0.64 + -0.64 = 0.00 0.08x = 0.00 + 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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