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