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Simplifying 0.4x + -0.6(4 + -3x) = -0.5(x + -6) 0.4x + (4 * -0.6 + -3x * -0.6) = -0.5(x + -6) 0.4x + (-2.4 + 1.8x) = -0.5(x + -6) Reorder the terms: -2.4 + 0.4x + 1.8x = -0.5(x + -6) Combine like terms: 0.4x + 1.8x = 2.2x -2.4 + 2.2x = -0.5(x + -6) Reorder the terms: -2.4 + 2.2x = -0.5(-6 + x) -2.4 + 2.2x = (-6 * -0.5 + x * -0.5) -2.4 + 2.2x = (3 + -0.5x) Solving -2.4 + 2.2x = 3 + -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. -2.4 + 2.2x + 0.5x = 3 + -0.5x + 0.5x Combine like terms: 2.2x + 0.5x = 2.7x -2.4 + 2.7x = 3 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -2.4 + 2.7x = 3 + 0.0 -2.4 + 2.7x = 3 Add '2.4' to each side of the equation. -2.4 + 2.4 + 2.7x = 3 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 2.7x = 3 + 2.4 2.7x = 3 + 2.4 Combine like terms: 3 + 2.4 = 5.4 2.7x = 5.4 Divide each side by '2.7'. x = 2 Simplifying x = 2
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