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Simplifying 0.04(x + 6) = 0.02(2x + 6) + 0.12 Reorder the terms: 0.04(6 + x) = 0.02(2x + 6) + 0.12 (6 * 0.04 + x * 0.04) = 0.02(2x + 6) + 0.12 (0.24 + 0.04x) = 0.02(2x + 6) + 0.12 Reorder the terms: 0.24 + 0.04x = 0.02(6 + 2x) + 0.12 0.24 + 0.04x = (6 * 0.02 + 2x * 0.02) + 0.12 0.24 + 0.04x = (0.12 + 0.04x) + 0.12 Reorder the terms: 0.24 + 0.04x = 0.12 + 0.12 + 0.04x Combine like terms: 0.12 + 0.12 = 0.24 0.24 + 0.04x = 0.24 + 0.04x Add '-0.24' to each side of the equation. 0.24 + -0.24 + 0.04x = 0.24 + -0.24 + 0.04x Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.04x = 0.24 + -0.24 + 0.04x 0.04x = 0.24 + -0.24 + 0.04x Combine like terms: 0.24 + -0.24 = 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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