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Simplifying 0.4x + -5 = 0.75x + -4 Reorder the terms: -5 + 0.4x = 0.75x + -4 Reorder the terms: -5 + 0.4x = -4 + 0.75x Solving -5 + 0.4x = -4 + 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. -5 + 0.4x + -0.75x = -4 + 0.75x + -0.75x Combine like terms: 0.4x + -0.75x = -0.35x -5 + -0.35x = -4 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -5 + -0.35x = -4 + 0.00 -5 + -0.35x = -4 Add '5' to each side of the equation. -5 + 5 + -0.35x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -0.35x = -4 + 5 -0.35x = -4 + 5 Combine like terms: -4 + 5 = 1 -0.35x = 1 Divide each side by '-0.35'. x = -2.857142857 Simplifying x = -2.857142857
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