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Simplifying 5(x + 9) = 18(7 + -3x) Reorder the terms: 5(9 + x) = 18(7 + -3x) (9 * 5 + x * 5) = 18(7 + -3x) (45 + 5x) = 18(7 + -3x) 45 + 5x = (7 * 18 + -3x * 18) 45 + 5x = (126 + -54x) Solving 45 + 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. 45 + 5x + 54x = 126 + -54x + 54x Combine like terms: 5x + 54x = 59x 45 + 59x = 126 + -54x + 54x Combine like terms: -54x + 54x = 0 45 + 59x = 126 + 0 45 + 59x = 126 Add '-45' to each side of the equation. 45 + -45 + 59x = 126 + -45 Combine like terms: 45 + -45 = 0 0 + 59x = 126 + -45 59x = 126 + -45 Combine like terms: 126 + -45 = 81 59x = 81 Divide each side by '59'. x = 1.372881356 Simplifying x = 1.372881356
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