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Simplifying 0.4x + -0.1(4 + -3x) = -0.5(x + -4) 0.4x + (4 * -0.1 + -3x * -0.1) = -0.5(x + -4) 0.4x + (-0.4 + 0.3x) = -0.5(x + -4) Reorder the terms: -0.4 + 0.4x + 0.3x = -0.5(x + -4) Combine like terms: 0.4x + 0.3x = 0.7x -0.4 + 0.7x = -0.5(x + -4) Reorder the terms: -0.4 + 0.7x = -0.5(-4 + x) -0.4 + 0.7x = (-4 * -0.5 + x * -0.5) -0.4 + 0.7x = (2 + -0.5x) Solving -0.4 + 0.7x = 2 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -0.4 + 0.7x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 0.7x + 0.5x = 1.2x -0.4 + 1.2x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.4 + 1.2x = 2 + 0.0 -0.4 + 1.2x = 2 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1.2x = 2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1.2x = 2 + 0.4 1.2x = 2 + 0.4 Combine like terms: 2 + 0.4 = 2.4 1.2x = 2.4 Divide each side by '1.2'. x = 2 Simplifying x = 2
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