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Simplifying 0.04(x + 5) = 0.02(2x + 8) + 0.04 Reorder the terms: 0.04(5 + x) = 0.02(2x + 8) + 0.04 (5 * 0.04 + x * 0.04) = 0.02(2x + 8) + 0.04 (0.2 + 0.04x) = 0.02(2x + 8) + 0.04 Reorder the terms: 0.2 + 0.04x = 0.02(8 + 2x) + 0.04 0.2 + 0.04x = (8 * 0.02 + 2x * 0.02) + 0.04 0.2 + 0.04x = (0.16 + 0.04x) + 0.04 Reorder the terms: 0.2 + 0.04x = 0.16 + 0.04 + 0.04x Combine like terms: 0.16 + 0.04 = 0.2 0.2 + 0.04x = 0.2 + 0.04x Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.04x = 0.2 + -0.2 + 0.04x Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.04x = 0.2 + -0.2 + 0.04x 0.04x = 0.2 + -0.2 + 0.04x Combine like terms: 0.2 + -0.2 = 0.0 0.04x = 0.0 + 0.04x 0.04x = 0.04x Add '-0.04x' to each side of the equation. 0.04x + -0.04x = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.00 = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 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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