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Simplifying 0.2x + -0.1(6 + -5x) = -0.4(x + -4) 0.2x + (6 * -0.1 + -5x * -0.1) = -0.4(x + -4) 0.2x + (-0.6 + 0.5x) = -0.4(x + -4) Reorder the terms: -0.6 + 0.2x + 0.5x = -0.4(x + -4) Combine like terms: 0.2x + 0.5x = 0.7x -0.6 + 0.7x = -0.4(x + -4) Reorder the terms: -0.6 + 0.7x = -0.4(-4 + x) -0.6 + 0.7x = (-4 * -0.4 + x * -0.4) -0.6 + 0.7x = (1.6 + -0.4x) Solving -0.6 + 0.7x = 1.6 + -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. -0.6 + 0.7x + 0.4x = 1.6 + -0.4x + 0.4x Combine like terms: 0.7x + 0.4x = 1.1x -0.6 + 1.1x = 1.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.6 + 1.1x = 1.6 + 0.0 -0.6 + 1.1x = 1.6 Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.1x = 1.6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.1x = 1.6 + 0.6 1.1x = 1.6 + 0.6 Combine like terms: 1.6 + 0.6 = 2.2 1.1x = 2.2 Divide each side by '1.1'. x = 2 Simplifying x = 2
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