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Simplifying 7(x + 6) + 2 = -9(x + -10) + -8 Reorder the terms: 7(6 + x) + 2 = -9(x + -10) + -8 (6 * 7 + x * 7) + 2 = -9(x + -10) + -8 (42 + 7x) + 2 = -9(x + -10) + -8 Reorder the terms: 42 + 2 + 7x = -9(x + -10) + -8 Combine like terms: 42 + 2 = 44 44 + 7x = -9(x + -10) + -8 Reorder the terms: 44 + 7x = -9(-10 + x) + -8 44 + 7x = (-10 * -9 + x * -9) + -8 44 + 7x = (90 + -9x) + -8 Reorder the terms: 44 + 7x = 90 + -8 + -9x Combine like terms: 90 + -8 = 82 44 + 7x = 82 + -9x Solving 44 + 7x = 82 + -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. 44 + 7x + 9x = 82 + -9x + 9x Combine like terms: 7x + 9x = 16x 44 + 16x = 82 + -9x + 9x Combine like terms: -9x + 9x = 0 44 + 16x = 82 + 0 44 + 16x = 82 Add '-44' to each side of the equation. 44 + -44 + 16x = 82 + -44 Combine like terms: 44 + -44 = 0 0 + 16x = 82 + -44 16x = 82 + -44 Combine like terms: 82 + -44 = 38 16x = 38 Divide each side by '16'. x = 2.375 Simplifying x = 2.375
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