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Simplifying -5(1 + -1x) + x = -1(6 + -2x) + -5x + 7 (1 * -5 + -1x * -5) + x = -1(6 + -2x) + -5x + 7 (-5 + 5x) + x = -1(6 + -2x) + -5x + 7 Combine like terms: 5x + x = 6x -5 + 6x = -1(6 + -2x) + -5x + 7 -5 + 6x = (6 * -1 + -2x * -1) + -5x + 7 -5 + 6x = (-6 + 2x) + -5x + 7 Reorder the terms: -5 + 6x = -6 + 7 + 2x + -5x Combine like terms: -6 + 7 = 1 -5 + 6x = 1 + 2x + -5x Combine like terms: 2x + -5x = -3x -5 + 6x = 1 + -3x Solving -5 + 6x = 1 + -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 = 1 + -3x + 3x Combine like terms: 6x + 3x = 9x -5 + 9x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 9x = 1 + 0 -5 + 9x = 1 Add '5' to each side of the equation. -5 + 5 + 9x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 1 + 5 9x = 1 + 5 Combine like terms: 1 + 5 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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