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Simplifying 0.9x + -0.5(X + -4) = 0.4(X + -5) Reorder the terms: 0.9x + -0.5(-4 + X) = 0.4(X + -5) 0.9x + (-4 * -0.5 + X * -0.5) = 0.4(X + -5) 0.9x + (2 + -0.5X) = 0.4(X + -5) Reorder the terms: 2 + -0.5X + 0.9x = 0.4(X + -5) Reorder the terms: 2 + -0.5X + 0.9x = 0.4(-5 + X) 2 + -0.5X + 0.9x = (-5 * 0.4 + X * 0.4) 2 + -0.5X + 0.9x = (-2 + 0.4X) Solving 2 + -0.5X + 0.9x = -2 + 0.4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.4X' to each side of the equation. 2 + -0.5X + -0.4X + 0.9x = -2 + 0.4X + -0.4X Combine like terms: -0.5X + -0.4X = -0.9X 2 + -0.9X + 0.9x = -2 + 0.4X + -0.4X Combine like terms: 0.4X + -0.4X = 0.0 2 + -0.9X + 0.9x = -2 + 0.0 2 + -0.9X + 0.9x = -2 Add '-2' to each side of the equation. 2 + -0.9X + -2 + 0.9x = -2 + -2 Reorder the terms: 2 + -2 + -0.9X + 0.9x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -0.9X + 0.9x = -2 + -2 -0.9X + 0.9x = -2 + -2 Combine like terms: -2 + -2 = -4 -0.9X + 0.9x = -4 Add '-0.9x' to each side of the equation. -0.9X + 0.9x + -0.9x = -4 + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.9X + 0.0 = -4 + -0.9x -0.9X = -4 + -0.9x Divide each side by '-0.9'. X = 4.444444444 + x Simplifying X = 4.444444444 + x
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