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Simplifying -0.4(x + -6) = 0.8(3 + -1x) Reorder the terms: -0.4(-6 + x) = 0.8(3 + -1x) (-6 * -0.4 + x * -0.4) = 0.8(3 + -1x) (2.4 + -0.4x) = 0.8(3 + -1x) 2.4 + -0.4x = (3 * 0.8 + -1x * 0.8) 2.4 + -0.4x = (2.4 + -0.8x) Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.4x = 2.4 + -2.4 + -0.8x Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.4x = 2.4 + -2.4 + -0.8x -0.4x = 2.4 + -2.4 + -0.8x Combine like terms: 2.4 + -2.4 = 0.0 -0.4x = 0.0 + -0.8x -0.4x = -0.8x Solving -0.4x = -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. -0.4x + 0.8x = -0.8x + 0.8x Combine like terms: -0.4x + 0.8x = 0.4x 0.4x = -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 0.4x = 0.0 Divide each side by '0.4'. x = 0 Simplifying x = 0
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