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Simplifying 9(x + 6) + -8(5x + -8) = 14 Reorder the terms: 9(6 + x) + -8(5x + -8) = 14 (6 * 9 + x * 9) + -8(5x + -8) = 14 (54 + 9x) + -8(5x + -8) = 14 Reorder the terms: 54 + 9x + -8(-8 + 5x) = 14 54 + 9x + (-8 * -8 + 5x * -8) = 14 54 + 9x + (64 + -40x) = 14 Reorder the terms: 54 + 64 + 9x + -40x = 14 Combine like terms: 54 + 64 = 118 118 + 9x + -40x = 14 Combine like terms: 9x + -40x = -31x 118 + -31x = 14 Solving 118 + -31x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-118' to each side of the equation. 118 + -118 + -31x = 14 + -118 Combine like terms: 118 + -118 = 0 0 + -31x = 14 + -118 -31x = 14 + -118 Combine like terms: 14 + -118 = -104 -31x = -104 Divide each side by '-31'. x = 3.35483871 Simplifying x = 3.35483871
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