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Simplifying 0.4(5x + 10) = 2.0(x + 2) Reorder the terms: 0.4(10 + 5x) = 2.0(x + 2) (10 * 0.4 + 5x * 0.4) = 2.0(x + 2) (4 + 2x) = 2.0(x + 2) Reorder the terms: 4 + 2x = 2.0(2 + x) 4 + 2x = (2 * 2.0 + x * 2.0) 4 + 2x = (4 + 2.0x) Add '-4' to each side of the equation. 4 + -4 + 2x = 4 + -4 + 2.0x Combine like terms: 4 + -4 = 0 0 + 2x = 4 + -4 + 2.0x 2x = 4 + -4 + 2.0x Combine like terms: 4 + -4 = 0 2x = 0 + 2.0x 2x = 2.0x Add '-2x' to each side of the equation. 2x + -2x = 2.0x + -2x Combine like terms: 2x + -2x = 0 0 = 2.0x + -2x Combine like terms: 2.0x + -2x = 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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