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Simplifying 9(3x + 5) + 7(4x + -8) = 99 Reorder the terms: 9(5 + 3x) + 7(4x + -8) = 99 (5 * 9 + 3x * 9) + 7(4x + -8) = 99 (45 + 27x) + 7(4x + -8) = 99 Reorder the terms: 45 + 27x + 7(-8 + 4x) = 99 45 + 27x + (-8 * 7 + 4x * 7) = 99 45 + 27x + (-56 + 28x) = 99 Reorder the terms: 45 + -56 + 27x + 28x = 99 Combine like terms: 45 + -56 = -11 -11 + 27x + 28x = 99 Combine like terms: 27x + 28x = 55x -11 + 55x = 99 Solving -11 + 55x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 55x = 99 + 11 Combine like terms: -11 + 11 = 0 0 + 55x = 99 + 11 55x = 99 + 11 Combine like terms: 99 + 11 = 110 55x = 110 Divide each side by '55'. x = 2 Simplifying x = 2
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