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Simplifying 6(6x + 2) + 8(1 + -5x) = 0 Reorder the terms: 6(2 + 6x) + 8(1 + -5x) = 0 (2 * 6 + 6x * 6) + 8(1 + -5x) = 0 (12 + 36x) + 8(1 + -5x) = 0 12 + 36x + (1 * 8 + -5x * 8) = 0 12 + 36x + (8 + -40x) = 0 Reorder the terms: 12 + 8 + 36x + -40x = 0 Combine like terms: 12 + 8 = 20 20 + 36x + -40x = 0 Combine like terms: 36x + -40x = -4x 20 + -4x = 0 Solving 20 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 0 + -20 -4x = 0 + -20 Combine like terms: 0 + -20 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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