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Simplifying 8(x + 7) + -1(5x + -1) = 1 Reorder the terms: 8(7 + x) + -1(5x + -1) = 1 (7 * 8 + x * 8) + -1(5x + -1) = 1 (56 + 8x) + -1(5x + -1) = 1 Reorder the terms: 56 + 8x + -1(-1 + 5x) = 1 56 + 8x + (-1 * -1 + 5x * -1) = 1 56 + 8x + (1 + -5x) = 1 Reorder the terms: 56 + 1 + 8x + -5x = 1 Combine like terms: 56 + 1 = 57 57 + 8x + -5x = 1 Combine like terms: 8x + -5x = 3x 57 + 3x = 1 Solving 57 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 3x = 1 + -57 Combine like terms: 57 + -57 = 0 0 + 3x = 1 + -57 3x = 1 + -57 Combine like terms: 1 + -57 = -56 3x = -56 Divide each side by '3'. x = -18.66666667 Simplifying x = -18.66666667
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