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Simplifying 0.4(3x + 21) = 1.2(x + 7) Reorder the terms: 0.4(21 + 3x) = 1.2(x + 7) (21 * 0.4 + 3x * 0.4) = 1.2(x + 7) (8.4 + 1.2x) = 1.2(x + 7) Reorder the terms: 8.4 + 1.2x = 1.2(7 + x) 8.4 + 1.2x = (7 * 1.2 + x * 1.2) 8.4 + 1.2x = (8.4 + 1.2x) Add '-8.4' to each side of the equation. 8.4 + -8.4 + 1.2x = 8.4 + -8.4 + 1.2x Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 1.2x = 8.4 + -8.4 + 1.2x 1.2x = 8.4 + -8.4 + 1.2x Combine like terms: 8.4 + -8.4 = 0.0 1.2x = 0.0 + 1.2x 1.2x = 1.2x Add '-1.2x' to each side of the equation. 1.2x + -1.2x = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 0.0 = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 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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