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Simplifying 8 + 9(x + -2) = 10 + -5(x + -4) Reorder the terms: 8 + 9(-2 + x) = 10 + -5(x + -4) 8 + (-2 * 9 + x * 9) = 10 + -5(x + -4) 8 + (-18 + 9x) = 10 + -5(x + -4) Combine like terms: 8 + -18 = -10 -10 + 9x = 10 + -5(x + -4) Reorder the terms: -10 + 9x = 10 + -5(-4 + x) -10 + 9x = 10 + (-4 * -5 + x * -5) -10 + 9x = 10 + (20 + -5x) Combine like terms: 10 + 20 = 30 -10 + 9x = 30 + -5x Solving -10 + 9x = 30 + -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. -10 + 9x + 5x = 30 + -5x + 5x Combine like terms: 9x + 5x = 14x -10 + 14x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 14x = 30 + 0 -10 + 14x = 30 Add '10' to each side of the equation. -10 + 10 + 14x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 30 + 10 14x = 30 + 10 Combine like terms: 30 + 10 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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