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Simplifying 12(x + 9) + 5(x + 3) = 90 Reorder the terms: 12(9 + x) + 5(x + 3) = 90 (9 * 12 + x * 12) + 5(x + 3) = 90 (108 + 12x) + 5(x + 3) = 90 Reorder the terms: 108 + 12x + 5(3 + x) = 90 108 + 12x + (3 * 5 + x * 5) = 90 108 + 12x + (15 + 5x) = 90 Reorder the terms: 108 + 15 + 12x + 5x = 90 Combine like terms: 108 + 15 = 123 123 + 12x + 5x = 90 Combine like terms: 12x + 5x = 17x 123 + 17x = 90 Solving 123 + 17x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-123' to each side of the equation. 123 + -123 + 17x = 90 + -123 Combine like terms: 123 + -123 = 0 0 + 17x = 90 + -123 17x = 90 + -123 Combine like terms: 90 + -123 = -33 17x = -33 Divide each side by '17'. x = -1.941176471 Simplifying x = -1.941176471
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