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Simplifying -0.6(4x + 2) = 0.4(-8 + -1x) Reorder the terms: -0.6(2 + 4x) = 0.4(-8 + -1x) (2 * -0.6 + 4x * -0.6) = 0.4(-8 + -1x) (-1.2 + -2.4x) = 0.4(-8 + -1x) -1.2 + -2.4x = (-8 * 0.4 + -1x * 0.4) -1.2 + -2.4x = (-3.2 + -0.4x) Solving -1.2 + -2.4x = -3.2 + -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. -1.2 + -2.4x + 0.4x = -3.2 + -0.4x + 0.4x Combine like terms: -2.4x + 0.4x = -2x -1.2 + -2x = -3.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1.2 + -2x = -3.2 + 0.0 -1.2 + -2x = -3.2 Add '1.2' to each side of the equation. -1.2 + 1.2 + -2x = -3.2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -2x = -3.2 + 1.2 -2x = -3.2 + 1.2 Combine like terms: -3.2 + 1.2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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