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Simplifying 4x(3 + 6) + -10x(3 + -1) + 8 = 0 Combine like terms: 3 + 6 = 9 4x(9) + -10x(3 + -1) + 8 = 0 Reorder the terms for easier multiplication: 4 * 9x + -10x(3 + -1) + 8 = 0 Multiply 4 * 9 36x + -10x(3 + -1) + 8 = 0 Combine like terms: 3 + -1 = 2 36x + -10x(2) + 8 = 0 Reorder the terms for easier multiplication: 36x + -10 * 2x + 8 = 0 Multiply -10 * 2 36x + -20x + 8 = 0 Reorder the terms: 8 + 36x + -20x = 0 Combine like terms: 36x + -20x = 16x 8 + 16x = 0 Solving 8 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 0 + -8 16x = 0 + -8 Combine like terms: 0 + -8 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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