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Simplifying 0.5(-7.68 + -2x) = -0.4x (-7.68 * 0.5 + -2x * 0.5) = -0.4x (-3.84 + -1x) = -0.4x Solving -3.84 + -1x = -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. -3.84 + -1x + 0.4x = -0.4x + 0.4x Combine like terms: -1x + 0.4x = -0.6x -3.84 + -0.6x = -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -3.84 + -0.6x = 0.0 Add '3.84' to each side of the equation. -3.84 + 3.84 + -0.6x = 0.0 + 3.84 Combine like terms: -3.84 + 3.84 = 0.00 0.00 + -0.6x = 0.0 + 3.84 -0.6x = 0.0 + 3.84 Combine like terms: 0.0 + 3.84 = 3.84 -0.6x = 3.84 Divide each side by '-0.6'. x = -6.4 Simplifying x = -6.4
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