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Simplifying 0.5(x + -2) + -0.7(x + 2) = -0.2x + -0.4 Reorder the terms: 0.5(-2 + x) + -0.7(x + 2) = -0.2x + -0.4 (-2 * 0.5 + x * 0.5) + -0.7(x + 2) = -0.2x + -0.4 (-1 + 0.5x) + -0.7(x + 2) = -0.2x + -0.4 Reorder the terms: -1 + 0.5x + -0.7(2 + x) = -0.2x + -0.4 -1 + 0.5x + (2 * -0.7 + x * -0.7) = -0.2x + -0.4 -1 + 0.5x + (-1.4 + -0.7x) = -0.2x + -0.4 Reorder the terms: -1 + -1.4 + 0.5x + -0.7x = -0.2x + -0.4 Combine like terms: -1 + -1.4 = -2.4 -2.4 + 0.5x + -0.7x = -0.2x + -0.4 Combine like terms: 0.5x + -0.7x = -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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