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Simplifying 0.4(X + 5) + 1.4(x + -4) = 0 Reorder the terms: 0.4(5 + X) + 1.4(x + -4) = 0 (5 * 0.4 + X * 0.4) + 1.4(x + -4) = 0 (2 + 0.4X) + 1.4(x + -4) = 0 Reorder the terms: 2 + 0.4X + 1.4(-4 + x) = 0 2 + 0.4X + (-4 * 1.4 + x * 1.4) = 0 2 + 0.4X + (-5.6 + 1.4x) = 0 Reorder the terms: 2 + -5.6 + 0.4X + 1.4x = 0 Combine like terms: 2 + -5.6 = -3.6 -3.6 + 0.4X + 1.4x = 0 Solving -3.6 + 0.4X + 1.4x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3.6' to each side of the equation. -3.6 + 0.4X + 3.6 + 1.4x = 0 + 3.6 Reorder the terms: -3.6 + 3.6 + 0.4X + 1.4x = 0 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.4X + 1.4x = 0 + 3.6 0.4X + 1.4x = 0 + 3.6 Combine like terms: 0 + 3.6 = 3.6 0.4X + 1.4x = 3.6 Add '-1.4x' to each side of the equation. 0.4X + 1.4x + -1.4x = 3.6 + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 0.4X + 0.0 = 3.6 + -1.4x 0.4X = 3.6 + -1.4x Divide each side by '0.4'. X = 9 + -3.5x Simplifying X = 9 + -3.5x
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