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Simplifying (-0.75x + -9) + -1(3.5x + 6.4) = 0 Reorder the terms: (-9 + -0.75x) + -1(3.5x + 6.4) = 0 Remove parenthesis around (-9 + -0.75x) -9 + -0.75x + -1(3.5x + 6.4) = 0 Reorder the terms: -9 + -0.75x + -1(6.4 + 3.5x) = 0 -9 + -0.75x + (6.4 * -1 + 3.5x * -1) = 0 -9 + -0.75x + (-6.4 + -3.5x) = 0 Reorder the terms: -9 + -6.4 + -0.75x + -3.5x = 0 Combine like terms: -9 + -6.4 = -15.4 -15.4 + -0.75x + -3.5x = 0 Combine like terms: -0.75x + -3.5x = -4.25x -15.4 + -4.25x = 0 Solving -15.4 + -4.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.4' to each side of the equation. -15.4 + 15.4 + -4.25x = 0 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + -4.25x = 0 + 15.4 -4.25x = 0 + 15.4 Combine like terms: 0 + 15.4 = 15.4 -4.25x = 15.4 Divide each side by '-4.25'. x = -3.623529412 Simplifying x = -3.623529412
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