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Simplifying 0.06(x + 7) = 0.03(2x + 6) + 0.24 Reorder the terms: 0.06(7 + x) = 0.03(2x + 6) + 0.24 (7 * 0.06 + x * 0.06) = 0.03(2x + 6) + 0.24 (0.42 + 0.06x) = 0.03(2x + 6) + 0.24 Reorder the terms: 0.42 + 0.06x = 0.03(6 + 2x) + 0.24 0.42 + 0.06x = (6 * 0.03 + 2x * 0.03) + 0.24 0.42 + 0.06x = (0.18 + 0.06x) + 0.24 Reorder the terms: 0.42 + 0.06x = 0.18 + 0.24 + 0.06x Combine like terms: 0.18 + 0.24 = 0.42 0.42 + 0.06x = 0.42 + 0.06x Add '-0.42' to each side of the equation. 0.42 + -0.42 + 0.06x = 0.42 + -0.42 + 0.06x Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 0.06x = 0.42 + -0.42 + 0.06x 0.06x = 0.42 + -0.42 + 0.06x Combine like terms: 0.42 + -0.42 = 0.00 0.06x = 0.00 + 0.06x 0.06x = 0.06x Add '-0.06x' to each side of the equation. 0.06x + -0.06x = 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.00 = 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 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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