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Simplifying -6x + 9 + -7(x + -1) = -1(5x + -8) + -7x + 7 Reorder the terms: -6x + 9 + -7(-1 + x) = -1(5x + -8) + -7x + 7 -6x + 9 + (-1 * -7 + x * -7) = -1(5x + -8) + -7x + 7 -6x + 9 + (7 + -7x) = -1(5x + -8) + -7x + 7 Reorder the terms: 9 + 7 + -6x + -7x = -1(5x + -8) + -7x + 7 Combine like terms: 9 + 7 = 16 16 + -6x + -7x = -1(5x + -8) + -7x + 7 Combine like terms: -6x + -7x = -13x 16 + -13x = -1(5x + -8) + -7x + 7 Reorder the terms: 16 + -13x = -1(-8 + 5x) + -7x + 7 16 + -13x = (-8 * -1 + 5x * -1) + -7x + 7 16 + -13x = (8 + -5x) + -7x + 7 Reorder the terms: 16 + -13x = 8 + 7 + -5x + -7x Combine like terms: 8 + 7 = 15 16 + -13x = 15 + -5x + -7x Combine like terms: -5x + -7x = -12x 16 + -13x = 15 + -12x Solving 16 + -13x = 15 + -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. 16 + -13x + 12x = 15 + -12x + 12x Combine like terms: -13x + 12x = -1x 16 + -1x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + -1x = 15 + 0 16 + -1x = 15 Add '-16' to each side of the equation. 16 + -16 + -1x = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 15 + -16 -1x = 15 + -16 Combine like terms: 15 + -16 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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