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Simplifying 4(2x + 4) + 5(6x + 7) = 0 Reorder the terms: 4(4 + 2x) + 5(6x + 7) = 0 (4 * 4 + 2x * 4) + 5(6x + 7) = 0 (16 + 8x) + 5(6x + 7) = 0 Reorder the terms: 16 + 8x + 5(7 + 6x) = 0 16 + 8x + (7 * 5 + 6x * 5) = 0 16 + 8x + (35 + 30x) = 0 Reorder the terms: 16 + 35 + 8x + 30x = 0 Combine like terms: 16 + 35 = 51 51 + 8x + 30x = 0 Combine like terms: 8x + 30x = 38x 51 + 38x = 0 Solving 51 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 38x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 38x = 0 + -51 38x = 0 + -51 Combine like terms: 0 + -51 = -51 38x = -51 Divide each side by '38'. x = -1.342105263 Simplifying x = -1.342105263
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