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Simplifying 0.2x + -0.4(20 + -5x) = -0.8(x + -5) 0.2x + (20 * -0.4 + -5x * -0.4) = -0.8(x + -5) 0.2x + (-8 + 2x) = -0.8(x + -5) Reorder the terms: -8 + 0.2x + 2x = -0.8(x + -5) Combine like terms: 0.2x + 2x = 2.2x -8 + 2.2x = -0.8(x + -5) Reorder the terms: -8 + 2.2x = -0.8(-5 + x) -8 + 2.2x = (-5 * -0.8 + x * -0.8) -8 + 2.2x = (4 + -0.8x) Solving -8 + 2.2x = 4 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -8 + 2.2x + 0.8x = 4 + -0.8x + 0.8x Combine like terms: 2.2x + 0.8x = 3x -8 + 3x = 4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -8 + 3x = 4 + 0.0 -8 + 3x = 4 Add '8' to each side of the equation. -8 + 8 + 3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 4 + 8 3x = 4 + 8 Combine like terms: 4 + 8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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