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Simplifying 1.3x + -0.9(x + 16) = 0.4(x + 3) Reorder the terms: 1.3x + -0.9(16 + x) = 0.4(x + 3) 1.3x + (16 * -0.9 + x * -0.9) = 0.4(x + 3) 1.3x + (-14.4 + -0.9x) = 0.4(x + 3) Reorder the terms: -14.4 + 1.3x + -0.9x = 0.4(x + 3) Combine like terms: 1.3x + -0.9x = 0.4x -14.4 + 0.4x = 0.4(x + 3) Reorder the terms: -14.4 + 0.4x = 0.4(3 + x) -14.4 + 0.4x = (3 * 0.4 + x * 0.4) -14.4 + 0.4x = (1.2 + 0.4x) Add '-0.4x' to each side of the equation. -14.4 + 0.4x + -0.4x = 1.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -14.4 + 0.0 = 1.2 + 0.4x + -0.4x -14.4 = 1.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -14.4 = 1.2 + 0.0 -14.4 = 1.2 Solving -14.4 = 1.2 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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