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Simplifying 9(x + 4) + 2 = -9(x + -8) + -6 Reorder the terms: 9(4 + x) + 2 = -9(x + -8) + -6 (4 * 9 + x * 9) + 2 = -9(x + -8) + -6 (36 + 9x) + 2 = -9(x + -8) + -6 Reorder the terms: 36 + 2 + 9x = -9(x + -8) + -6 Combine like terms: 36 + 2 = 38 38 + 9x = -9(x + -8) + -6 Reorder the terms: 38 + 9x = -9(-8 + x) + -6 38 + 9x = (-8 * -9 + x * -9) + -6 38 + 9x = (72 + -9x) + -6 Reorder the terms: 38 + 9x = 72 + -6 + -9x Combine like terms: 72 + -6 = 66 38 + 9x = 66 + -9x Solving 38 + 9x = 66 + -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. 38 + 9x + 9x = 66 + -9x + 9x Combine like terms: 9x + 9x = 18x 38 + 18x = 66 + -9x + 9x Combine like terms: -9x + 9x = 0 38 + 18x = 66 + 0 38 + 18x = 66 Add '-38' to each side of the equation. 38 + -38 + 18x = 66 + -38 Combine like terms: 38 + -38 = 0 0 + 18x = 66 + -38 18x = 66 + -38 Combine like terms: 66 + -38 = 28 18x = 28 Divide each side by '18'. x = 1.555555556 Simplifying x = 1.555555556
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