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Simplifying -6x + 5 + -7(x + -1) = -1(5x + -3) + -7x + 7 Reorder the terms: -6x + 5 + -7(-1 + x) = -1(5x + -3) + -7x + 7 -6x + 5 + (-1 * -7 + x * -7) = -1(5x + -3) + -7x + 7 -6x + 5 + (7 + -7x) = -1(5x + -3) + -7x + 7 Reorder the terms: 5 + 7 + -6x + -7x = -1(5x + -3) + -7x + 7 Combine like terms: 5 + 7 = 12 12 + -6x + -7x = -1(5x + -3) + -7x + 7 Combine like terms: -6x + -7x = -13x 12 + -13x = -1(5x + -3) + -7x + 7 Reorder the terms: 12 + -13x = -1(-3 + 5x) + -7x + 7 12 + -13x = (-3 * -1 + 5x * -1) + -7x + 7 12 + -13x = (3 + -5x) + -7x + 7 Reorder the terms: 12 + -13x = 3 + 7 + -5x + -7x Combine like terms: 3 + 7 = 10 12 + -13x = 10 + -5x + -7x Combine like terms: -5x + -7x = -12x 12 + -13x = 10 + -12x Solving 12 + -13x = 10 + -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. 12 + -13x + 12x = 10 + -12x + 12x Combine like terms: -13x + 12x = -1x 12 + -1x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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