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Simplifying 6(2x + 7) + 15 + 3(x + 8) = 0 Reorder the terms: 6(7 + 2x) + 15 + 3(x + 8) = 0 (7 * 6 + 2x * 6) + 15 + 3(x + 8) = 0 (42 + 12x) + 15 + 3(x + 8) = 0 Reorder the terms: 42 + 12x + 15 + 3(8 + x) = 0 42 + 12x + 15 + (8 * 3 + x * 3) = 0 42 + 12x + 15 + (24 + 3x) = 0 Reorder the terms: 42 + 15 + 24 + 12x + 3x = 0 Combine like terms: 42 + 15 = 57 57 + 24 + 12x + 3x = 0 Combine like terms: 57 + 24 = 81 81 + 12x + 3x = 0 Combine like terms: 12x + 3x = 15x 81 + 15x = 0 Solving 81 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 15x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 15x = 0 + -81 15x = 0 + -81 Combine like terms: 0 + -81 = -81 15x = -81 Divide each side by '15'. x = -5.4 Simplifying x = -5.4
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