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Simplifying 0.03(2x + 7) = 0.06(5 + x) + -0.09 Reorder the terms: 0.03(7 + 2x) = 0.06(5 + x) + -0.09 (7 * 0.03 + 2x * 0.03) = 0.06(5 + x) + -0.09 (0.21 + 0.06x) = 0.06(5 + x) + -0.09 0.21 + 0.06x = (5 * 0.06 + x * 0.06) + -0.09 0.21 + 0.06x = (0.3 + 0.06x) + -0.09 Reorder the terms: 0.21 + 0.06x = 0.3 + -0.09 + 0.06x Combine like terms: 0.3 + -0.09 = 0.21 0.21 + 0.06x = 0.21 + 0.06x Add '-0.21' to each side of the equation. 0.21 + -0.21 + 0.06x = 0.21 + -0.21 + 0.06x Combine like terms: 0.21 + -0.21 = 0.00 0.00 + 0.06x = 0.21 + -0.21 + 0.06x 0.06x = 0.21 + -0.21 + 0.06x Combine like terms: 0.21 + -0.21 = 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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