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Simplifying -0.6(X + -5) + 0.8(X + -6) = 0.2X + -1.8 Reorder the terms: -0.6(-5 + X) + 0.8(X + -6) = 0.2X + -1.8 (-5 * -0.6 + X * -0.6) + 0.8(X + -6) = 0.2X + -1.8 (3 + -0.6X) + 0.8(X + -6) = 0.2X + -1.8 Reorder the terms: 3 + -0.6X + 0.8(-6 + X) = 0.2X + -1.8 3 + -0.6X + (-6 * 0.8 + X * 0.8) = 0.2X + -1.8 3 + -0.6X + (-4.8 + 0.8X) = 0.2X + -1.8 Reorder the terms: 3 + -4.8 + -0.6X + 0.8X = 0.2X + -1.8 Combine like terms: 3 + -4.8 = -1.8 -1.8 + -0.6X + 0.8X = 0.2X + -1.8 Combine like terms: -0.6X + 0.8X = 0.2X -1.8 + 0.2X = 0.2X + -1.8 Reorder the terms: -1.8 + 0.2X = -1.8 + 0.2X Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.2X = -1.8 + 1.8 + 0.2X Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.2X = -1.8 + 1.8 + 0.2X 0.2X = -1.8 + 1.8 + 0.2X Combine like terms: -1.8 + 1.8 = 0.0 0.2X = 0.0 + 0.2X 0.2X = 0.2X Add '-0.2X' to each side of the equation. 0.2X + -0.2X = 0.2X + -0.2X Combine like terms: 0.2X + -0.2X = 0.0 0.0 = 0.2X + -0.2X Combine like terms: 0.2X + -0.2X = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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