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Simplifying 0.8(20x + 25) = 0.5(32x + 40) Reorder the terms: 0.8(25 + 20x) = 0.5(32x + 40) (25 * 0.8 + 20x * 0.8) = 0.5(32x + 40) (20 + 16x) = 0.5(32x + 40) Reorder the terms: 20 + 16x = 0.5(40 + 32x) 20 + 16x = (40 * 0.5 + 32x * 0.5) 20 + 16x = (20 + 16x) Add '-20' to each side of the equation. 20 + -20 + 16x = 20 + -20 + 16x Combine like terms: 20 + -20 = 0 0 + 16x = 20 + -20 + 16x 16x = 20 + -20 + 16x Combine like terms: 20 + -20 = 0 16x = 0 + 16x 16x = 16x Add '-16x' to each side of the equation. 16x + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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