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Simplifying 0.2(4x + -8) + 0.2(x + -4) = -0.8x Reorder the terms: 0.2(-8 + 4x) + 0.2(x + -4) = -0.8x (-8 * 0.2 + 4x * 0.2) + 0.2(x + -4) = -0.8x (-1.6 + 0.8x) + 0.2(x + -4) = -0.8x Reorder the terms: -1.6 + 0.8x + 0.2(-4 + x) = -0.8x -1.6 + 0.8x + (-4 * 0.2 + x * 0.2) = -0.8x -1.6 + 0.8x + (-0.8 + 0.2x) = -0.8x Reorder the terms: -1.6 + -0.8 + 0.8x + 0.2x = -0.8x Combine like terms: -1.6 + -0.8 = -2.4 -2.4 + 0.8x + 0.2x = -0.8x Combine like terms: 0.8x + 0.2x = 1x -2.4 + 1x = -0.8x Solving -2.4 + 1x = -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. -2.4 + 1x + 0.8x = -0.8x + 0.8x Combine like terms: 1x + 0.8x = 1.8x -2.4 + 1.8x = -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -2.4 + 1.8x = 0.0 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1.8x = 0.0 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1.8x = 0.0 + 2.4 1.8x = 0.0 + 2.4 Combine like terms: 0.0 + 2.4 = 2.4 1.8x = 2.4 Divide each side by '1.8'. x = 1.333333333 Simplifying x = 1.333333333
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