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Simplifying 5(x + 16) = 9(14 + -6x) Reorder the terms: 5(16 + x) = 9(14 + -6x) (16 * 5 + x * 5) = 9(14 + -6x) (80 + 5x) = 9(14 + -6x) 80 + 5x = (14 * 9 + -6x * 9) 80 + 5x = (126 + -54x) Solving 80 + 5x = 126 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 80 + 5x + 54x = 126 + -54x + 54x Combine like terms: 5x + 54x = 59x 80 + 59x = 126 + -54x + 54x Combine like terms: -54x + 54x = 0 80 + 59x = 126 + 0 80 + 59x = 126 Add '-80' to each side of the equation. 80 + -80 + 59x = 126 + -80 Combine like terms: 80 + -80 = 0 0 + 59x = 126 + -80 59x = 126 + -80 Combine like terms: 126 + -80 = 46 59x = 46 Divide each side by '59'. x = 0.7796610169 Simplifying x = 0.7796610169
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