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Simplifying 0.4x + 6 = 0.75x + -8 Reorder the terms: 6 + 0.4x = 0.75x + -8 Reorder the terms: 6 + 0.4x = -8 + 0.75x Solving 6 + 0.4x = -8 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 6 + 0.4x + -0.75x = -8 + 0.75x + -0.75x Combine like terms: 0.4x + -0.75x = -0.35x 6 + -0.35x = -8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 6 + -0.35x = -8 + 0.00 6 + -0.35x = -8 Add '-6' to each side of the equation. 6 + -6 + -0.35x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -0.35x = -8 + -6 -0.35x = -8 + -6 Combine like terms: -8 + -6 = -14 -0.35x = -14 Divide each side by '-0.35'. x = 40 Simplifying x = 40
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