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Simplifying -3(8x + 6) + -2(4 + -20x) + -3(5 + 5x) = 0 Reorder the terms: -3(6 + 8x) + -2(4 + -20x) + -3(5 + 5x) = 0 (6 * -3 + 8x * -3) + -2(4 + -20x) + -3(5 + 5x) = 0 (-18 + -24x) + -2(4 + -20x) + -3(5 + 5x) = 0 -18 + -24x + (4 * -2 + -20x * -2) + -3(5 + 5x) = 0 -18 + -24x + (-8 + 40x) + -3(5 + 5x) = 0 -18 + -24x + -8 + 40x + (5 * -3 + 5x * -3) = 0 -18 + -24x + -8 + 40x + (-15 + -15x) = 0 Reorder the terms: -18 + -8 + -15 + -24x + 40x + -15x = 0 Combine like terms: -18 + -8 = -26 -26 + -15 + -24x + 40x + -15x = 0 Combine like terms: -26 + -15 = -41 -41 + -24x + 40x + -15x = 0 Combine like terms: -24x + 40x = 16x -41 + 16x + -15x = 0 Combine like terms: 16x + -15x = 1x -41 + 1x = 0 Solving -41 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 1x = 0 + 41 1x = 0 + 41 Combine like terms: 0 + 41 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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