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Simplifying 6 + 5(x + -2) = 10 + -9(x + -8) Reorder the terms: 6 + 5(-2 + x) = 10 + -9(x + -8) 6 + (-2 * 5 + x * 5) = 10 + -9(x + -8) 6 + (-10 + 5x) = 10 + -9(x + -8) Combine like terms: 6 + -10 = -4 -4 + 5x = 10 + -9(x + -8) Reorder the terms: -4 + 5x = 10 + -9(-8 + x) -4 + 5x = 10 + (-8 * -9 + x * -9) -4 + 5x = 10 + (72 + -9x) Combine like terms: 10 + 72 = 82 -4 + 5x = 82 + -9x Solving -4 + 5x = 82 + -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. -4 + 5x + 9x = 82 + -9x + 9x Combine like terms: 5x + 9x = 14x -4 + 14x = 82 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 14x = 82 + 0 -4 + 14x = 82 Add '4' to each side of the equation. -4 + 4 + 14x = 82 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 82 + 4 14x = 82 + 4 Combine like terms: 82 + 4 = 86 14x = 86 Divide each side by '14'. x = 6.142857143 Simplifying x = 6.142857143
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