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Simplifying (0.5x + -6) + (0.75x + -0.1) = 0 Reorder the terms: (-6 + 0.5x) + (0.75x + -0.1) = 0 Remove parenthesis around (-6 + 0.5x) -6 + 0.5x + (0.75x + -0.1) = 0 Reorder the terms: -6 + 0.5x + (-0.1 + 0.75x) = 0 Remove parenthesis around (-0.1 + 0.75x) -6 + 0.5x + -0.1 + 0.75x = 0 Reorder the terms: -6 + -0.1 + 0.5x + 0.75x = 0 Combine like terms: -6 + -0.1 = -6.1 -6.1 + 0.5x + 0.75x = 0 Combine like terms: 0.5x + 0.75x = 1.25x -6.1 + 1.25x = 0 Solving -6.1 + 1.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.1' to each side of the equation. -6.1 + 6.1 + 1.25x = 0 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + 1.25x = 0 + 6.1 1.25x = 0 + 6.1 Combine like terms: 0 + 6.1 = 6.1 1.25x = 6.1 Divide each side by '1.25'. x = 4.88 Simplifying x = 4.88
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