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Simplifying 0.2(5x + 40) = 1.0(x + 8) Reorder the terms: 0.2(40 + 5x) = 1.0(x + 8) (40 * 0.2 + 5x * 0.2) = 1.0(x + 8) (8 + 1x) = 1.0(x + 8) Reorder the terms: 8 + 1x = 1.0(8 + x) 8 + 1x = (8 * 1.0 + x * 1.0) 8 + 1x = (8 + 1.0x) Add '-8' to each side of the equation. 8 + -8 + 1x = 8 + -8 + 1.0x Combine like terms: 8 + -8 = 0 0 + 1x = 8 + -8 + 1.0x 1x = 8 + -8 + 1.0x Combine like terms: 8 + -8 = 0 1x = 0 + 1.0x 1x = 1.0x Add '-1x' to each side of the equation. 1x + -1x = 1.0x + -1x Combine like terms: 1x + -1x = 0 0 = 1.0x + -1x Combine like terms: 1.0x + -1x = 0.0 0 = 0.0 Solving 0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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