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Simplifying 5(4x + 9) = 18 + -1(7x + 9) Reorder the terms: 5(9 + 4x) = 18 + -1(7x + 9) (9 * 5 + 4x * 5) = 18 + -1(7x + 9) (45 + 20x) = 18 + -1(7x + 9) Reorder the terms: 45 + 20x = 18 + -1(9 + 7x) 45 + 20x = 18 + (9 * -1 + 7x * -1) 45 + 20x = 18 + (-9 + -7x) Combine like terms: 18 + -9 = 9 45 + 20x = 9 + -7x Solving 45 + 20x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 45 + 20x + 7x = 9 + -7x + 7x Combine like terms: 20x + 7x = 27x 45 + 27x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 45 + 27x = 9 + 0 45 + 27x = 9 Add '-45' to each side of the equation. 45 + -45 + 27x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 27x = 9 + -45 27x = 9 + -45 Combine like terms: 9 + -45 = -36 27x = -36 Divide each side by '27'. x = -1.333333333 Simplifying x = -1.333333333
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