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Simplifying 0.4(3x + 18) = 1.2(x + -6) Reorder the terms: 0.4(18 + 3x) = 1.2(x + -6) (18 * 0.4 + 3x * 0.4) = 1.2(x + -6) (7.2 + 1.2x) = 1.2(x + -6) Reorder the terms: 7.2 + 1.2x = 1.2(-6 + x) 7.2 + 1.2x = (-6 * 1.2 + x * 1.2) 7.2 + 1.2x = (-7.2 + 1.2x) Add '-1.2x' to each side of the equation. 7.2 + 1.2x + -1.2x = -7.2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 7.2 + 0.0 = -7.2 + 1.2x + -1.2x 7.2 = -7.2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 7.2 = -7.2 + 0.0 7.2 = -7.2 Solving 7.2 = -7.2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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