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Simplifying 5(x + 1) + -1(2x + -1) = 1 Reorder the terms: 5(1 + x) + -1(2x + -1) = 1 (1 * 5 + x * 5) + -1(2x + -1) = 1 (5 + 5x) + -1(2x + -1) = 1 Reorder the terms: 5 + 5x + -1(-1 + 2x) = 1 5 + 5x + (-1 * -1 + 2x * -1) = 1 5 + 5x + (1 + -2x) = 1 Reorder the terms: 5 + 1 + 5x + -2x = 1 Combine like terms: 5 + 1 = 6 6 + 5x + -2x = 1 Combine like terms: 5x + -2x = 3x 6 + 3x = 1 Solving 6 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 1 + -6 3x = 1 + -6 Combine like terms: 1 + -6 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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