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Simplifying 7(4x + 5) = 9(3x + 9) + -74 Reorder the terms: 7(5 + 4x) = 9(3x + 9) + -74 (5 * 7 + 4x * 7) = 9(3x + 9) + -74 (35 + 28x) = 9(3x + 9) + -74 Reorder the terms: 35 + 28x = 9(9 + 3x) + -74 35 + 28x = (9 * 9 + 3x * 9) + -74 35 + 28x = (81 + 27x) + -74 Reorder the terms: 35 + 28x = 81 + -74 + 27x Combine like terms: 81 + -74 = 7 35 + 28x = 7 + 27x Solving 35 + 28x = 7 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 35 + 28x + -27x = 7 + 27x + -27x Combine like terms: 28x + -27x = 1x 35 + 1x = 7 + 27x + -27x Combine like terms: 27x + -27x = 0 35 + 1x = 7 + 0 35 + 1x = 7 Add '-35' to each side of the equation. 35 + -35 + 1x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 7 + -35 1x = 7 + -35 Combine like terms: 7 + -35 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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