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Simplifying 0.9x + 0.3x + 12 + -0.4x = 18 + -6 + 0.8x + 12 Reorder the terms: 12 + 0.9x + 0.3x + -0.4x = 18 + -6 + 0.8x + 12 Combine like terms: 0.9x + 0.3x = 1.2x 12 + 1.2x + -0.4x = 18 + -6 + 0.8x + 12 Combine like terms: 1.2x + -0.4x = 0.8x 12 + 0.8x = 18 + -6 + 0.8x + 12 Reorder the terms: 12 + 0.8x = 18 + -6 + 12 + 0.8x Combine like terms: 18 + -6 = 12 12 + 0.8x = 12 + 12 + 0.8x Combine like terms: 12 + 12 = 24 12 + 0.8x = 24 + 0.8x Add '-0.8x' to each side of the equation. 12 + 0.8x + -0.8x = 24 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 12 + 0.0 = 24 + 0.8x + -0.8x 12 = 24 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 12 = 24 + 0.0 12 = 24 Solving 12 = 24 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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