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