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Simplifying 8(4x + 2) + 7(10 + -1x) = 0 Reorder the terms: 8(2 + 4x) + 7(10 + -1x) = 0 (2 * 8 + 4x * 8) + 7(10 + -1x) = 0 (16 + 32x) + 7(10 + -1x) = 0 16 + 32x + (10 * 7 + -1x * 7) = 0 16 + 32x + (70 + -7x) = 0 Reorder the terms: 16 + 70 + 32x + -7x = 0 Combine like terms: 16 + 70 = 86 86 + 32x + -7x = 0 Combine like terms: 32x + -7x = 25x 86 + 25x = 0 Solving 86 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 25x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 25x = 0 + -86 25x = 0 + -86 Combine like terms: 0 + -86 = -86 25x = -86 Divide each side by '25'. x = -3.44 Simplifying x = -3.44
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