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Simplifying -3x + 8(6x + 7) + 6x + 8 = 0 Reorder the terms: -3x + 8(7 + 6x) + 6x + 8 = 0 -3x + (7 * 8 + 6x * 8) + 6x + 8 = 0 -3x + (56 + 48x) + 6x + 8 = 0 Reorder the terms: 56 + 8 + -3x + 48x + 6x = 0 Combine like terms: 56 + 8 = 64 64 + -3x + 48x + 6x = 0 Combine like terms: -3x + 48x = 45x 64 + 45x + 6x = 0 Combine like terms: 45x + 6x = 51x 64 + 51x = 0 Solving 64 + 51x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 51x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 51x = 0 + -64 51x = 0 + -64 Combine like terms: 0 + -64 = -64 51x = -64 Divide each side by '51'. x = -1.254901961 Simplifying x = -1.254901961
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