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Simplifying 7(5x + 9) + (x + 9) * 4 = 12 Reorder the terms: 7(9 + 5x) + (x + 9) * 4 = 12 (9 * 7 + 5x * 7) + (x + 9) * 4 = 12 (63 + 35x) + (x + 9) * 4 = 12 Reorder the terms: 63 + 35x + (9 + x) * 4 = 12 Reorder the terms for easier multiplication: 63 + 35x + 4(9 + x) = 12 63 + 35x + (9 * 4 + x * 4) = 12 63 + 35x + (36 + 4x) = 12 Reorder the terms: 63 + 36 + 35x + 4x = 12 Combine like terms: 63 + 36 = 99 99 + 35x + 4x = 12 Combine like terms: 35x + 4x = 39x 99 + 39x = 12 Solving 99 + 39x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 39x = 12 + -99 Combine like terms: 99 + -99 = 0 0 + 39x = 12 + -99 39x = 12 + -99 Combine like terms: 12 + -99 = -87 39x = -87 Divide each side by '39'. x = -2.230769231 Simplifying x = -2.230769231
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