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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 = 27 45 + 20X = 27 + -7X Solving 45 + 20X = 27 + -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 = 27 + -7X + 7X Combine like terms: 20X + 7X = 27X 45 + 27X = 27 + -7X + 7X Combine like terms: -7X + 7X = 0 45 + 27X = 27 + 0 45 + 27X = 27 Add '-45' to each side of the equation. 45 + -45 + 27X = 27 + -45 Combine like terms: 45 + -45 = 0 0 + 27X = 27 + -45 27X = 27 + -45 Combine like terms: 27 + -45 = -18 27X = -18 Divide each side by '27'. X = -0.6666666667 Simplifying X = -0.6666666667
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