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Simplifying 0.2(7x + 42) = 1.4(x + 6) Reorder the terms: 0.2(42 + 7x) = 1.4(x + 6) (42 * 0.2 + 7x * 0.2) = 1.4(x + 6) (8.4 + 1.4x) = 1.4(x + 6) Reorder the terms: 8.4 + 1.4x = 1.4(6 + x) 8.4 + 1.4x = (6 * 1.4 + x * 1.4) 8.4 + 1.4x = (8.4 + 1.4x) Add '-8.4' to each side of the equation. 8.4 + -8.4 + 1.4x = 8.4 + -8.4 + 1.4x Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 1.4x = 8.4 + -8.4 + 1.4x 1.4x = 8.4 + -8.4 + 1.4x Combine like terms: 8.4 + -8.4 = 0.0 1.4x = 0.0 + 1.4x 1.4x = 1.4x Add '-1.4x' to each side of the equation. 1.4x + -1.4x = 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 0.0 = 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 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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