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Simplifying 1 + 7(x + -8) = 1 + -5(x + -9) Reorder the terms: 1 + 7(-8 + x) = 1 + -5(x + -9) 1 + (-8 * 7 + x * 7) = 1 + -5(x + -9) 1 + (-56 + 7x) = 1 + -5(x + -9) Combine like terms: 1 + -56 = -55 -55 + 7x = 1 + -5(x + -9) Reorder the terms: -55 + 7x = 1 + -5(-9 + x) -55 + 7x = 1 + (-9 * -5 + x * -5) -55 + 7x = 1 + (45 + -5x) Combine like terms: 1 + 45 = 46 -55 + 7x = 46 + -5x Solving -55 + 7x = 46 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -55 + 7x + 5x = 46 + -5x + 5x Combine like terms: 7x + 5x = 12x -55 + 12x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -55 + 12x = 46 + 0 -55 + 12x = 46 Add '55' to each side of the equation. -55 + 55 + 12x = 46 + 55 Combine like terms: -55 + 55 = 0 0 + 12x = 46 + 55 12x = 46 + 55 Combine like terms: 46 + 55 = 101 12x = 101 Divide each side by '12'. x = 8.416666667 Simplifying x = 8.416666667
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