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Simplifying 0.4(15x + 6) = 1.5(4x + 1.6) Reorder the terms: 0.4(6 + 15x) = 1.5(4x + 1.6) (6 * 0.4 + 15x * 0.4) = 1.5(4x + 1.6) (2.4 + 6x) = 1.5(4x + 1.6) Reorder the terms: 2.4 + 6x = 1.5(1.6 + 4x) 2.4 + 6x = (1.6 * 1.5 + 4x * 1.5) 2.4 + 6x = (2.4 + 6x) Add '-2.4' to each side of the equation. 2.4 + -2.4 + 6x = 2.4 + -2.4 + 6x Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 6x = 2.4 + -2.4 + 6x 6x = 2.4 + -2.4 + 6x Combine like terms: 2.4 + -2.4 = 0.0 6x = 0.0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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