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Simplifying 9(x + -9) + -3x = 5(9 + 4x) Reorder the terms: 9(-9 + x) + -3x = 5(9 + 4x) (-9 * 9 + x * 9) + -3x = 5(9 + 4x) (-81 + 9x) + -3x = 5(9 + 4x) Combine like terms: 9x + -3x = 6x -81 + 6x = 5(9 + 4x) -81 + 6x = (9 * 5 + 4x * 5) -81 + 6x = (45 + 20x) Solving -81 + 6x = 45 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -81 + 6x + -20x = 45 + 20x + -20x Combine like terms: 6x + -20x = -14x -81 + -14x = 45 + 20x + -20x Combine like terms: 20x + -20x = 0 -81 + -14x = 45 + 0 -81 + -14x = 45 Add '81' to each side of the equation. -81 + 81 + -14x = 45 + 81 Combine like terms: -81 + 81 = 0 0 + -14x = 45 + 81 -14x = 45 + 81 Combine like terms: 45 + 81 = 126 -14x = 126 Divide each side by '-14'. x = -9 Simplifying x = -9
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