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Simplifying 0.2(9x + 45) = 1.8(x + 5) Reorder the terms: 0.2(45 + 9x) = 1.8(x + 5) (45 * 0.2 + 9x * 0.2) = 1.8(x + 5) (9 + 1.8x) = 1.8(x + 5) Reorder the terms: 9 + 1.8x = 1.8(5 + x) 9 + 1.8x = (5 * 1.8 + x * 1.8) 9 + 1.8x = (9 + 1.8x) Add '-9' to each side of the equation. 9 + -9 + 1.8x = 9 + -9 + 1.8x Combine like terms: 9 + -9 = 0 0 + 1.8x = 9 + -9 + 1.8x 1.8x = 9 + -9 + 1.8x Combine like terms: 9 + -9 = 0 1.8x = 0 + 1.8x 1.8x = 1.8x Add '-1.8x' to each side of the equation. 1.8x + -1.8x = 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 0.0 = 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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