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Simplifying 0.08(5x + 9) = 0.40(x + 1) + 0.32 Reorder the terms: 0.08(9 + 5x) = 0.40(x + 1) + 0.32 (9 * 0.08 + 5x * 0.08) = 0.40(x + 1) + 0.32 (0.72 + 0.4x) = 0.40(x + 1) + 0.32 Reorder the terms: 0.72 + 0.4x = 0.40(1 + x) + 0.32 0.72 + 0.4x = (1 * 0.40 + x * 0.40) + 0.32 0.72 + 0.4x = (0.4 + 0.40x) + 0.32 Reorder the terms: 0.72 + 0.4x = 0.4 + 0.32 + 0.40x Combine like terms: 0.4 + 0.32 = 0.72 0.72 + 0.4x = 0.72 + 0.40x Add '-0.72' to each side of the equation. 0.72 + -0.72 + 0.4x = 0.72 + -0.72 + 0.40x Combine like terms: 0.72 + -0.72 = 0.00 0.00 + 0.4x = 0.72 + -0.72 + 0.40x 0.4x = 0.72 + -0.72 + 0.40x Combine like terms: 0.72 + -0.72 = 0.00 0.4x = 0.00 + 0.40x 0.4x = 0.40x Add '-0.4x' to each side of the equation. 0.4x + -0.4x = 0.40x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.0 = 0.40x + -0.4x Combine like terms: 0.40x + -0.4x = 0.00 0.0 = 0.00 Solving 0.0 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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