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Simplifying 8(6x + 7) + 2(x + -9) = 0 Reorder the terms: 8(7 + 6x) + 2(x + -9) = 0 (7 * 8 + 6x * 8) + 2(x + -9) = 0 (56 + 48x) + 2(x + -9) = 0 Reorder the terms: 56 + 48x + 2(-9 + x) = 0 56 + 48x + (-9 * 2 + x * 2) = 0 56 + 48x + (-18 + 2x) = 0 Reorder the terms: 56 + -18 + 48x + 2x = 0 Combine like terms: 56 + -18 = 38 38 + 48x + 2x = 0 Combine like terms: 48x + 2x = 50x 38 + 50x = 0 Solving 38 + 50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 50x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 50x = 0 + -38 50x = 0 + -38 Combine like terms: 0 + -38 = -38 50x = -38 Divide each side by '50'. x = -0.76 Simplifying x = -0.76
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