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Simplifying -2(2x + 3) + -5(4x + -5) = 0 Reorder the terms: -2(3 + 2x) + -5(4x + -5) = 0 (3 * -2 + 2x * -2) + -5(4x + -5) = 0 (-6 + -4x) + -5(4x + -5) = 0 Reorder the terms: -6 + -4x + -5(-5 + 4x) = 0 -6 + -4x + (-5 * -5 + 4x * -5) = 0 -6 + -4x + (25 + -20x) = 0 Reorder the terms: -6 + 25 + -4x + -20x = 0 Combine like terms: -6 + 25 = 19 19 + -4x + -20x = 0 Combine like terms: -4x + -20x = -24x 19 + -24x = 0 Solving 19 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -24x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -24x = 0 + -19 -24x = 0 + -19 Combine like terms: 0 + -19 = -19 -24x = -19 Divide each side by '-24'. x = 0.7916666667 Simplifying x = 0.7916666667
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