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Simplifying 8(x + 7) + -1(5x + -2) = 6 Reorder the terms: 8(7 + x) + -1(5x + -2) = 6 (7 * 8 + x * 8) + -1(5x + -2) = 6 (56 + 8x) + -1(5x + -2) = 6 Reorder the terms: 56 + 8x + -1(-2 + 5x) = 6 56 + 8x + (-2 * -1 + 5x * -1) = 6 56 + 8x + (2 + -5x) = 6 Reorder the terms: 56 + 2 + 8x + -5x = 6 Combine like terms: 56 + 2 = 58 58 + 8x + -5x = 6 Combine like terms: 8x + -5x = 3x 58 + 3x = 6 Solving 58 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 3x = 6 + -58 Combine like terms: 58 + -58 = 0 0 + 3x = 6 + -58 3x = 6 + -58 Combine like terms: 6 + -58 = -52 3x = -52 Divide each side by '3'. x = -17.33333333 Simplifying x = -17.33333333
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