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Simplifying 0.2(2x + 1) + -0.66(X + -5) = 5 Reorder the terms: 0.2(1 + 2x) + -0.66(X + -5) = 5 (1 * 0.2 + 2x * 0.2) + -0.66(X + -5) = 5 (0.2 + 0.4x) + -0.66(X + -5) = 5 Reorder the terms: 0.2 + 0.4x + -0.66(-5 + X) = 5 0.2 + 0.4x + (-5 * -0.66 + X * -0.66) = 5 0.2 + 0.4x + (3.3 + -0.66X) = 5 Reorder the terms: 0.2 + 3.3 + -0.66X + 0.4x = 5 Combine like terms: 0.2 + 3.3 = 3.5 3.5 + -0.66X + 0.4x = 5 Solving 3.5 + -0.66X + 0.4x = 5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -0.66X + -3.5 + 0.4x = 5 + -3.5 Reorder the terms: 3.5 + -3.5 + -0.66X + 0.4x = 5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.66X + 0.4x = 5 + -3.5 -0.66X + 0.4x = 5 + -3.5 Combine like terms: 5 + -3.5 = 1.5 -0.66X + 0.4x = 1.5 Add '-0.4x' to each side of the equation. -0.66X + 0.4x + -0.4x = 1.5 + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.66X + 0.0 = 1.5 + -0.4x -0.66X = 1.5 + -0.4x Divide each side by '-0.66'. X = -2.272727273 + 0.6060606061x Simplifying X = -2.272727273 + 0.6060606061x
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