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Simplifying -5(-9x + 7) + 7 = -1(-9x + -8) Reorder the terms: -5(7 + -9x) + 7 = -1(-9x + -8) (7 * -5 + -9x * -5) + 7 = -1(-9x + -8) (-35 + 45x) + 7 = -1(-9x + -8) Reorder the terms: -35 + 7 + 45x = -1(-9x + -8) Combine like terms: -35 + 7 = -28 -28 + 45x = -1(-9x + -8) Reorder the terms: -28 + 45x = -1(-8 + -9x) -28 + 45x = (-8 * -1 + -9x * -1) -28 + 45x = (8 + 9x) Solving -28 + 45x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -28 + 45x + -9x = 8 + 9x + -9x Combine like terms: 45x + -9x = 36x -28 + 36x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -28 + 36x = 8 + 0 -28 + 36x = 8 Add '28' to each side of the equation. -28 + 28 + 36x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 36x = 8 + 28 36x = 8 + 28 Combine like terms: 8 + 28 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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