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Simplifying 0.8x + -0.7(8 + -4x) = -0.4(x + -6) 0.8x + (8 * -0.7 + -4x * -0.7) = -0.4(x + -6) 0.8x + (-5.6 + 2.8x) = -0.4(x + -6) Reorder the terms: -5.6 + 0.8x + 2.8x = -0.4(x + -6) Combine like terms: 0.8x + 2.8x = 3.6x -5.6 + 3.6x = -0.4(x + -6) Reorder the terms: -5.6 + 3.6x = -0.4(-6 + x) -5.6 + 3.6x = (-6 * -0.4 + x * -0.4) -5.6 + 3.6x = (2.4 + -0.4x) Solving -5.6 + 3.6x = 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. -5.6 + 3.6x + 0.4x = 2.4 + -0.4x + 0.4x Combine like terms: 3.6x + 0.4x = 4x -5.6 + 4x = 2.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -5.6 + 4x = 2.4 + 0.0 -5.6 + 4x = 2.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + 4x = 2.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 4x = 2.4 + 5.6 4x = 2.4 + 5.6 Combine like terms: 2.4 + 5.6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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