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Simplifying 5(x + 4) + -1(2x + -1) = 8 Reorder the terms: 5(4 + x) + -1(2x + -1) = 8 (4 * 5 + x * 5) + -1(2x + -1) = 8 (20 + 5x) + -1(2x + -1) = 8 Reorder the terms: 20 + 5x + -1(-1 + 2x) = 8 20 + 5x + (-1 * -1 + 2x * -1) = 8 20 + 5x + (1 + -2x) = 8 Reorder the terms: 20 + 1 + 5x + -2x = 8 Combine like terms: 20 + 1 = 21 21 + 5x + -2x = 8 Combine like terms: 5x + -2x = 3x 21 + 3x = 8 Solving 21 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 8 + -21 3x = 8 + -21 Combine like terms: 8 + -21 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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