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Simplifying 7(4 + 8x) + 2(1 + -10x) = 0 (4 * 7 + 8x * 7) + 2(1 + -10x) = 0 (28 + 56x) + 2(1 + -10x) = 0 28 + 56x + (1 * 2 + -10x * 2) = 0 28 + 56x + (2 + -20x) = 0 Reorder the terms: 28 + 2 + 56x + -20x = 0 Combine like terms: 28 + 2 = 30 30 + 56x + -20x = 0 Combine like terms: 56x + -20x = 36x 30 + 36x = 0 Solving 30 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 36x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 36x = 0 + -30 36x = 0 + -30 Combine like terms: 0 + -30 = -30 36x = -30 Divide each side by '36'. x = -0.8333333333 Simplifying x = -0.8333333333
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