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Simplifying 8(x + 5) + -1(3x + -1) = 7 Reorder the terms: 8(5 + x) + -1(3x + -1) = 7 (5 * 8 + x * 8) + -1(3x + -1) = 7 (40 + 8x) + -1(3x + -1) = 7 Reorder the terms: 40 + 8x + -1(-1 + 3x) = 7 40 + 8x + (-1 * -1 + 3x * -1) = 7 40 + 8x + (1 + -3x) = 7 Reorder the terms: 40 + 1 + 8x + -3x = 7 Combine like terms: 40 + 1 = 41 41 + 8x + -3x = 7 Combine like terms: 8x + -3x = 5x 41 + 5x = 7 Solving 41 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 5x = 7 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 7 + -41 5x = 7 + -41 Combine like terms: 7 + -41 = -34 5x = -34 Divide each side by '5'. x = -6.8 Simplifying x = -6.8
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