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Simplifying 0.2x + -0.3(20 + -5x) = -0.4(x + -6) 0.2x + (20 * -0.3 + -5x * -0.3) = -0.4(x + -6) 0.2x + (-6 + 1.5x) = -0.4(x + -6) Reorder the terms: -6 + 0.2x + 1.5x = -0.4(x + -6) Combine like terms: 0.2x + 1.5x = 1.7x -6 + 1.7x = -0.4(x + -6) Reorder the terms: -6 + 1.7x = -0.4(-6 + x) -6 + 1.7x = (-6 * -0.4 + x * -0.4) -6 + 1.7x = (2.4 + -0.4x) Solving -6 + 1.7x = 2.4 + -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. -6 + 1.7x + 0.4x = 2.4 + -0.4x + 0.4x Combine like terms: 1.7x + 0.4x = 2.1x -6 + 2.1x = 2.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -6 + 2.1x = 2.4 + 0.0 -6 + 2.1x = 2.4 Add '6' to each side of the equation. -6 + 6 + 2.1x = 2.4 + 6 Combine like terms: -6 + 6 = 0 0 + 2.1x = 2.4 + 6 2.1x = 2.4 + 6 Combine like terms: 2.4 + 6 = 8.4 2.1x = 8.4 Divide each side by '2.1'. x = 4 Simplifying x = 4
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