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Simplifying 8(4x + 10) + -1(7x + -6) = 0 Reorder the terms: 8(10 + 4x) + -1(7x + -6) = 0 (10 * 8 + 4x * 8) + -1(7x + -6) = 0 (80 + 32x) + -1(7x + -6) = 0 Reorder the terms: 80 + 32x + -1(-6 + 7x) = 0 80 + 32x + (-6 * -1 + 7x * -1) = 0 80 + 32x + (6 + -7x) = 0 Reorder the terms: 80 + 6 + 32x + -7x = 0 Combine like terms: 80 + 6 = 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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