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Simplifying 8 + 5(x + -2) = 8 + -9(x + -1) Reorder the terms: 8 + 5(-2 + x) = 8 + -9(x + -1) 8 + (-2 * 5 + x * 5) = 8 + -9(x + -1) 8 + (-10 + 5x) = 8 + -9(x + -1) Combine like terms: 8 + -10 = -2 -2 + 5x = 8 + -9(x + -1) Reorder the terms: -2 + 5x = 8 + -9(-1 + x) -2 + 5x = 8 + (-1 * -9 + x * -9) -2 + 5x = 8 + (9 + -9x) Combine like terms: 8 + 9 = 17 -2 + 5x = 17 + -9x Solving -2 + 5x = 17 + -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. -2 + 5x + 9x = 17 + -9x + 9x Combine like terms: 5x + 9x = 14x -2 + 14x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 14x = 17 + 0 -2 + 14x = 17 Add '2' to each side of the equation. -2 + 2 + 14x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 17 + 2 14x = 17 + 2 Combine like terms: 17 + 2 = 19 14x = 19 Divide each side by '14'. x = 1.357142857 Simplifying x = 1.357142857
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