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Simplifying -2(13 + -3) + 9(3x + -7) + -6 = 5 + -9 Combine like terms: 13 + -3 = 10 -2(10) + 9(3x + -7) + -6 = 5 + -9 Multiply -2 * 10 -20 + 9(3x + -7) + -6 = 5 + -9 Reorder the terms: -20 + 9(-7 + 3x) + -6 = 5 + -9 -20 + (-7 * 9 + 3x * 9) + -6 = 5 + -9 -20 + (-63 + 27x) + -6 = 5 + -9 Reorder the terms: -20 + -63 + -6 + 27x = 5 + -9 Combine like terms: -20 + -63 = -83 -83 + -6 + 27x = 5 + -9 Combine like terms: -83 + -6 = -89 -89 + 27x = 5 + -9 Combine like terms: 5 + -9 = -4 -89 + 27x = -4 Solving -89 + 27x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 27x = -4 + 89 Combine like terms: -89 + 89 = 0 0 + 27x = -4 + 89 27x = -4 + 89 Combine like terms: -4 + 89 = 85 27x = 85 Divide each side by '27'. x = 3.148148148 Simplifying x = 3.148148148
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