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Simplifying 8 + 9(x + -8) = 7 + -5(x + -2) Reorder the terms: 8 + 9(-8 + x) = 7 + -5(x + -2) 8 + (-8 * 9 + x * 9) = 7 + -5(x + -2) 8 + (-72 + 9x) = 7 + -5(x + -2) Combine like terms: 8 + -72 = -64 -64 + 9x = 7 + -5(x + -2) Reorder the terms: -64 + 9x = 7 + -5(-2 + x) -64 + 9x = 7 + (-2 * -5 + x * -5) -64 + 9x = 7 + (10 + -5x) Combine like terms: 7 + 10 = 17 -64 + 9x = 17 + -5x Solving -64 + 9x = 17 + -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. -64 + 9x + 5x = 17 + -5x + 5x Combine like terms: 9x + 5x = 14x -64 + 14x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -64 + 14x = 17 + 0 -64 + 14x = 17 Add '64' to each side of the equation. -64 + 64 + 14x = 17 + 64 Combine like terms: -64 + 64 = 0 0 + 14x = 17 + 64 14x = 17 + 64 Combine like terms: 17 + 64 = 81 14x = 81 Divide each side by '14'. x = 5.785714286 Simplifying x = 5.785714286
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