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Simplifying -0.6(x + -5) + 0.8(x + -6) = 0.2x + -0.4 Reorder the terms: -0.6(-5 + x) + 0.8(x + -6) = 0.2x + -0.4 (-5 * -0.6 + x * -0.6) + 0.8(x + -6) = 0.2x + -0.4 (3 + -0.6x) + 0.8(x + -6) = 0.2x + -0.4 Reorder the terms: 3 + -0.6x + 0.8(-6 + x) = 0.2x + -0.4 3 + -0.6x + (-6 * 0.8 + x * 0.8) = 0.2x + -0.4 3 + -0.6x + (-4.8 + 0.8x) = 0.2x + -0.4 Reorder the terms: 3 + -4.8 + -0.6x + 0.8x = 0.2x + -0.4 Combine like terms: 3 + -4.8 = -1.8 -1.8 + -0.6x + 0.8x = 0.2x + -0.4 Combine like terms: -0.6x + 0.8x = 0.2x -1.8 + 0.2x = 0.2x + -0.4 Reorder the terms: -1.8 + 0.2x = -0.4 + 0.2x Add '-0.2x' to each side of the equation. -1.8 + 0.2x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.8 + 0.0 = -0.4 + 0.2x + -0.2x -1.8 = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.8 = -0.4 + 0.0 -1.8 = -0.4 Solving -1.8 = -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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