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Simplifying 0.3(x + 12) + -0.5(x + 12) = -0.2x + -0.4 Reorder the terms: 0.3(12 + x) + -0.5(x + 12) = -0.2x + -0.4 (12 * 0.3 + x * 0.3) + -0.5(x + 12) = -0.2x + -0.4 (3.6 + 0.3x) + -0.5(x + 12) = -0.2x + -0.4 Reorder the terms: 3.6 + 0.3x + -0.5(12 + x) = -0.2x + -0.4 3.6 + 0.3x + (12 * -0.5 + x * -0.5) = -0.2x + -0.4 3.6 + 0.3x + (-6 + -0.5x) = -0.2x + -0.4 Reorder the terms: 3.6 + -6 + 0.3x + -0.5x = -0.2x + -0.4 Combine like terms: 3.6 + -6 = -2.4 -2.4 + 0.3x + -0.5x = -0.2x + -0.4 Combine like terms: 0.3x + -0.5x = -0.2x -2.4 + -0.2x = -0.2x + -0.4 Reorder the terms: -2.4 + -0.2x = -0.4 + -0.2x Add '0.2x' to each side of the equation. -2.4 + -0.2x + 0.2x = -0.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -2.4 + 0.0 = -0.4 + -0.2x + 0.2x -2.4 = -0.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -2.4 = -0.4 + 0.0 -2.4 = -0.4 Solving -2.4 = -0.4 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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