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Simplifying 8(x + 7) + -1(7x + 5) = 2 Reorder the terms: 8(7 + x) + -1(7x + 5) = 2 (7 * 8 + x * 8) + -1(7x + 5) = 2 (56 + 8x) + -1(7x + 5) = 2 Reorder the terms: 56 + 8x + -1(5 + 7x) = 2 56 + 8x + (5 * -1 + 7x * -1) = 2 56 + 8x + (-5 + -7x) = 2 Reorder the terms: 56 + -5 + 8x + -7x = 2 Combine like terms: 56 + -5 = 51 51 + 8x + -7x = 2 Combine like terms: 8x + -7x = 1x 51 + 1x = 2 Solving 51 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 1x = 2 + -51 Combine like terms: 51 + -51 = 0 0 + 1x = 2 + -51 1x = 2 + -51 Combine like terms: 2 + -51 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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