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Simplifying 8(9 + 4x) = 6 + 5(2 + -1x) (9 * 8 + 4x * 8) = 6 + 5(2 + -1x) (72 + 32x) = 6 + 5(2 + -1x) 72 + 32x = 6 + (2 * 5 + -1x * 5) 72 + 32x = 6 + (10 + -5x) Combine like terms: 6 + 10 = 16 72 + 32x = 16 + -5x Solving 72 + 32x = 16 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 72 + 32x + 5x = 16 + -5x + 5x Combine like terms: 32x + 5x = 37x 72 + 37x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 72 + 37x = 16 + 0 72 + 37x = 16 Add '-72' to each side of the equation. 72 + -72 + 37x = 16 + -72 Combine like terms: 72 + -72 = 0 0 + 37x = 16 + -72 37x = 16 + -72 Combine like terms: 16 + -72 = -56 37x = -56 Divide each side by '37'. x = -1.513513514 Simplifying x = -1.513513514
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