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Simplifying 9(x + -9) + 5x = 9 + -5(x + -8) Reorder the terms: 9(-9 + x) + 5x = 9 + -5(x + -8) (-9 * 9 + x * 9) + 5x = 9 + -5(x + -8) (-81 + 9x) + 5x = 9 + -5(x + -8) Combine like terms: 9x + 5x = 14x -81 + 14x = 9 + -5(x + -8) Reorder the terms: -81 + 14x = 9 + -5(-8 + x) -81 + 14x = 9 + (-8 * -5 + x * -5) -81 + 14x = 9 + (40 + -5x) Combine like terms: 9 + 40 = 49 -81 + 14x = 49 + -5x Solving -81 + 14x = 49 + -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. -81 + 14x + 5x = 49 + -5x + 5x Combine like terms: 14x + 5x = 19x -81 + 19x = 49 + -5x + 5x Combine like terms: -5x + 5x = 0 -81 + 19x = 49 + 0 -81 + 19x = 49 Add '81' to each side of the equation. -81 + 81 + 19x = 49 + 81 Combine like terms: -81 + 81 = 0 0 + 19x = 49 + 81 19x = 49 + 81 Combine like terms: 49 + 81 = 130 19x = 130 Divide each side by '19'. x = 6.842105263 Simplifying x = 6.842105263
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