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Simplifying 9(5x + -9) = 7(3 + 4x) + -153 Reorder the terms: 9(-9 + 5x) = 7(3 + 4x) + -153 (-9 * 9 + 5x * 9) = 7(3 + 4x) + -153 (-81 + 45x) = 7(3 + 4x) + -153 -81 + 45x = (3 * 7 + 4x * 7) + -153 -81 + 45x = (21 + 28x) + -153 Reorder the terms: -81 + 45x = 21 + -153 + 28x Combine like terms: 21 + -153 = -132 -81 + 45x = -132 + 28x Solving -81 + 45x = -132 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -81 + 45x + -28x = -132 + 28x + -28x Combine like terms: 45x + -28x = 17x -81 + 17x = -132 + 28x + -28x Combine like terms: 28x + -28x = 0 -81 + 17x = -132 + 0 -81 + 17x = -132 Add '81' to each side of the equation. -81 + 81 + 17x = -132 + 81 Combine like terms: -81 + 81 = 0 0 + 17x = -132 + 81 17x = -132 + 81 Combine like terms: -132 + 81 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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