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Simplifying (3x + 8) + -6(2.5x + -3) = 0 Reorder the terms: (8 + 3x) + -6(2.5x + -3) = 0 Remove parenthesis around (8 + 3x) 8 + 3x + -6(2.5x + -3) = 0 Reorder the terms: 8 + 3x + -6(-3 + 2.5x) = 0 8 + 3x + (-3 * -6 + 2.5x * -6) = 0 8 + 3x + (18 + -15x) = 0 Reorder the terms: 8 + 18 + 3x + -15x = 0 Combine like terms: 8 + 18 = 26 26 + 3x + -15x = 0 Combine like terms: 3x + -15x = -12x 26 + -12x = 0 Solving 26 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -12x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = 0 + -26 -12x = 0 + -26 Combine like terms: 0 + -26 = -26 -12x = -26 Divide each side by '-12'. x = 2.166666667 Simplifying x = 2.166666667
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