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Simplifying 4(0.5x + 2) = 8(0.25x + 1) Reorder the terms: 4(2 + 0.5x) = 8(0.25x + 1) (2 * 4 + 0.5x * 4) = 8(0.25x + 1) (8 + 2x) = 8(0.25x + 1) Reorder the terms: 8 + 2x = 8(1 + 0.25x) 8 + 2x = (1 * 8 + 0.25x * 8) 8 + 2x = (8 + 2x) Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 + 2x 2x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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