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Simplifying 6(5x + 8) + -4(2x + 7) = 0 Reorder the terms: 6(8 + 5x) + -4(2x + 7) = 0 (8 * 6 + 5x * 6) + -4(2x + 7) = 0 (48 + 30x) + -4(2x + 7) = 0 Reorder the terms: 48 + 30x + -4(7 + 2x) = 0 48 + 30x + (7 * -4 + 2x * -4) = 0 48 + 30x + (-28 + -8x) = 0 Reorder the terms: 48 + -28 + 30x + -8x = 0 Combine like terms: 48 + -28 = 20 20 + 30x + -8x = 0 Combine like terms: 30x + -8x = 22x 20 + 22x = 0 Solving 20 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 22x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 22x = 0 + -20 22x = 0 + -20 Combine like terms: 0 + -20 = -20 22x = -20 Divide each side by '22'. x = -0.9090909091 Simplifying x = -0.9090909091
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