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Simplifying 4(8x + 7) + 9(8 + -1x) = 0 Reorder the terms: 4(7 + 8x) + 9(8 + -1x) = 0 (7 * 4 + 8x * 4) + 9(8 + -1x) = 0 (28 + 32x) + 9(8 + -1x) = 0 28 + 32x + (8 * 9 + -1x * 9) = 0 28 + 32x + (72 + -9x) = 0 Reorder the terms: 28 + 72 + 32x + -9x = 0 Combine like terms: 28 + 72 = 100 100 + 32x + -9x = 0 Combine like terms: 32x + -9x = 23x 100 + 23x = 0 Solving 100 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 23x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 23x = 0 + -100 23x = 0 + -100 Combine like terms: 0 + -100 = -100 23x = -100 Divide each side by '23'. x = -4.347826087 Simplifying x = -4.347826087
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