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Simplifying 8 + -1(4x + 7) + 5(x + 6) = 2 Reorder the terms: 8 + -1(7 + 4x) + 5(x + 6) = 2 8 + (7 * -1 + 4x * -1) + 5(x + 6) = 2 8 + (-7 + -4x) + 5(x + 6) = 2 Reorder the terms: 8 + -7 + -4x + 5(6 + x) = 2 8 + -7 + -4x + (6 * 5 + x * 5) = 2 8 + -7 + -4x + (30 + 5x) = 2 Reorder the terms: 8 + -7 + 30 + -4x + 5x = 2 Combine like terms: 8 + -7 = 1 1 + 30 + -4x + 5x = 2 Combine like terms: 1 + 30 = 31 31 + -4x + 5x = 2 Combine like terms: -4x + 5x = 1x 31 + 1x = 2 Solving 31 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 1x = 2 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 2 + -31 1x = 2 + -31 Combine like terms: 2 + -31 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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