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Simplifying 8 + 7(x + -2) = 5 + -5(x + -8) Reorder the terms: 8 + 7(-2 + x) = 5 + -5(x + -8) 8 + (-2 * 7 + x * 7) = 5 + -5(x + -8) 8 + (-14 + 7x) = 5 + -5(x + -8) Combine like terms: 8 + -14 = -6 -6 + 7x = 5 + -5(x + -8) Reorder the terms: -6 + 7x = 5 + -5(-8 + x) -6 + 7x = 5 + (-8 * -5 + x * -5) -6 + 7x = 5 + (40 + -5x) Combine like terms: 5 + 40 = 45 -6 + 7x = 45 + -5x Solving -6 + 7x = 45 + -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. -6 + 7x + 5x = 45 + -5x + 5x Combine like terms: 7x + 5x = 12x -6 + 12x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 12x = 45 + 0 -6 + 12x = 45 Add '6' to each side of the equation. -6 + 6 + 12x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 45 + 6 12x = 45 + 6 Combine like terms: 45 + 6 = 51 12x = 51 Divide each side by '12'. x = 4.25 Simplifying x = 4.25
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