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Simplifying 0.04(x + 4) = 0.02(2x + 5) + 0.06 Reorder the terms: 0.04(4 + x) = 0.02(2x + 5) + 0.06 (4 * 0.04 + x * 0.04) = 0.02(2x + 5) + 0.06 (0.16 + 0.04x) = 0.02(2x + 5) + 0.06 Reorder the terms: 0.16 + 0.04x = 0.02(5 + 2x) + 0.06 0.16 + 0.04x = (5 * 0.02 + 2x * 0.02) + 0.06 0.16 + 0.04x = (0.1 + 0.04x) + 0.06 Reorder the terms: 0.16 + 0.04x = 0.1 + 0.06 + 0.04x Combine like terms: 0.1 + 0.06 = 0.16 0.16 + 0.04x = 0.16 + 0.04x Add '-0.16' to each side of the equation. 0.16 + -0.16 + 0.04x = 0.16 + -0.16 + 0.04x Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.04x = 0.16 + -0.16 + 0.04x 0.04x = 0.16 + -0.16 + 0.04x Combine like terms: 0.16 + -0.16 = 0.00 0.04x = 0.00 + 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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