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Simplifying 0.4x + -0.75(x + -8) = 6.5 Reorder the terms: 0.4x + -0.75(-8 + x) = 6.5 0.4x + (-8 * -0.75 + x * -0.75) = 6.5 0.4x + (6 + -0.75x) = 6.5 Reorder the terms: 6 + 0.4x + -0.75x = 6.5 Combine like terms: 0.4x + -0.75x = -0.35x 6 + -0.35x = 6.5 Solving 6 + -0.35x = 6.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.35x = 6.5 + -6 Combine like terms: 6 + -6 = 0 0 + -0.35x = 6.5 + -6 -0.35x = 6.5 + -6 Combine like terms: 6.5 + -6 = 0.5 -0.35x = 0.5 Divide each side by '-0.35'. x = -1.428571429 Simplifying x = -1.428571429
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