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Simplifying (0.5x + -0.6) + (0.75x + -0.1) = 0 Reorder the terms: (-0.6 + 0.5x) + (0.75x + -0.1) = 0 Remove parenthesis around (-0.6 + 0.5x) -0.6 + 0.5x + (0.75x + -0.1) = 0 Reorder the terms: -0.6 + 0.5x + (-0.1 + 0.75x) = 0 Remove parenthesis around (-0.1 + 0.75x) -0.6 + 0.5x + -0.1 + 0.75x = 0 Reorder the terms: -0.6 + -0.1 + 0.5x + 0.75x = 0 Combine like terms: -0.6 + -0.1 = -0.7 -0.7 + 0.5x + 0.75x = 0 Combine like terms: 0.5x + 0.75x = 1.25x -0.7 + 1.25x = 0 Solving -0.7 + 1.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + 1.25x = 0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 1.25x = 0 + 0.7 1.25x = 0 + 0.7 Combine like terms: 0 + 0.7 = 0.7 1.25x = 0.7 Divide each side by '1.25'. x = 0.56 Simplifying x = 0.56
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