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Simplifying 9(x + 6) + 2 = -9(x + -5) + -6 Reorder the terms: 9(6 + x) + 2 = -9(x + -5) + -6 (6 * 9 + x * 9) + 2 = -9(x + -5) + -6 (54 + 9x) + 2 = -9(x + -5) + -6 Reorder the terms: 54 + 2 + 9x = -9(x + -5) + -6 Combine like terms: 54 + 2 = 56 56 + 9x = -9(x + -5) + -6 Reorder the terms: 56 + 9x = -9(-5 + x) + -6 56 + 9x = (-5 * -9 + x * -9) + -6 56 + 9x = (45 + -9x) + -6 Reorder the terms: 56 + 9x = 45 + -6 + -9x Combine like terms: 45 + -6 = 39 56 + 9x = 39 + -9x Solving 56 + 9x = 39 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 56 + 9x + 9x = 39 + -9x + 9x Combine like terms: 9x + 9x = 18x 56 + 18x = 39 + -9x + 9x Combine like terms: -9x + 9x = 0 56 + 18x = 39 + 0 56 + 18x = 39 Add '-56' to each side of the equation. 56 + -56 + 18x = 39 + -56 Combine like terms: 56 + -56 = 0 0 + 18x = 39 + -56 18x = 39 + -56 Combine like terms: 39 + -56 = -17 18x = -17 Divide each side by '18'. x = -0.9444444444 Simplifying x = -0.9444444444
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