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Simplifying -6x + 9 + 7(x + -1) = -1(5x + -7) + -7x + 7 Reorder the terms: -6x + 9 + 7(-1 + x) = -1(5x + -7) + -7x + 7 -6x + 9 + (-1 * 7 + x * 7) = -1(5x + -7) + -7x + 7 -6x + 9 + (-7 + 7x) = -1(5x + -7) + -7x + 7 Reorder the terms: 9 + -7 + -6x + 7x = -1(5x + -7) + -7x + 7 Combine like terms: 9 + -7 = 2 2 + -6x + 7x = -1(5x + -7) + -7x + 7 Combine like terms: -6x + 7x = 1x 2 + 1x = -1(5x + -7) + -7x + 7 Reorder the terms: 2 + 1x = -1(-7 + 5x) + -7x + 7 2 + 1x = (-7 * -1 + 5x * -1) + -7x + 7 2 + 1x = (7 + -5x) + -7x + 7 Reorder the terms: 2 + 1x = 7 + 7 + -5x + -7x Combine like terms: 7 + 7 = 14 2 + 1x = 14 + -5x + -7x Combine like terms: -5x + -7x = -12x 2 + 1x = 14 + -12x Solving 2 + 1x = 14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + 1x + 12x = 14 + -12x + 12x Combine like terms: 1x + 12x = 13x 2 + 13x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 13x = 14 + 0 2 + 13x = 14 Add '-2' to each side of the equation. 2 + -2 + 13x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 14 + -2 13x = 14 + -2 Combine like terms: 14 + -2 = 12 13x = 12 Divide each side by '13'. x = 0.9230769231 Simplifying x = 0.9230769231
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