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Simplifying (0.5x + -0.4) + -1(0.75x + -0.6) = 0 Reorder the terms: (-0.4 + 0.5x) + -1(0.75x + -0.6) = 0 Remove parenthesis around (-0.4 + 0.5x) -0.4 + 0.5x + -1(0.75x + -0.6) = 0 Reorder the terms: -0.4 + 0.5x + -1(-0.6 + 0.75x) = 0 -0.4 + 0.5x + (-0.6 * -1 + 0.75x * -1) = 0 -0.4 + 0.5x + (0.6 + -0.75x) = 0 Reorder the terms: -0.4 + 0.6 + 0.5x + -0.75x = 0 Combine like terms: -0.4 + 0.6 = 0.2 0.2 + 0.5x + -0.75x = 0 Combine like terms: 0.5x + -0.75x = -0.25x 0.2 + -0.25x = 0 Solving 0.2 + -0.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.25x = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.25x = 0 + -0.2 -0.25x = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.25x = -0.2 Divide each side by '-0.25'. x = 0.8 Simplifying x = 0.8
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