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Simplifying (-0.25x + -6) + -1(6.5x + 3.4) = 0 Reorder the terms: (-6 + -0.25x) + -1(6.5x + 3.4) = 0 Remove parenthesis around (-6 + -0.25x) -6 + -0.25x + -1(6.5x + 3.4) = 0 Reorder the terms: -6 + -0.25x + -1(3.4 + 6.5x) = 0 -6 + -0.25x + (3.4 * -1 + 6.5x * -1) = 0 -6 + -0.25x + (-3.4 + -6.5x) = 0 Reorder the terms: -6 + -3.4 + -0.25x + -6.5x = 0 Combine like terms: -6 + -3.4 = -9.4 -9.4 + -0.25x + -6.5x = 0 Combine like terms: -0.25x + -6.5x = -6.75x -9.4 + -6.75x = 0 Solving -9.4 + -6.75x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.4' to each side of the equation. -9.4 + 9.4 + -6.75x = 0 + 9.4 Combine like terms: -9.4 + 9.4 = 0.0 0.0 + -6.75x = 0 + 9.4 -6.75x = 0 + 9.4 Combine like terms: 0 + 9.4 = 9.4 -6.75x = 9.4 Divide each side by '-6.75'. x = -1.392592593 Simplifying x = -1.392592593
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