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Simplifying 2(3x + 4) + 5(6x + 7) + 8(9x + 10) = 123 Reorder the terms: 2(4 + 3x) + 5(6x + 7) + 8(9x + 10) = 123 (4 * 2 + 3x * 2) + 5(6x + 7) + 8(9x + 10) = 123 (8 + 6x) + 5(6x + 7) + 8(9x + 10) = 123 Reorder the terms: 8 + 6x + 5(7 + 6x) + 8(9x + 10) = 123 8 + 6x + (7 * 5 + 6x * 5) + 8(9x + 10) = 123 8 + 6x + (35 + 30x) + 8(9x + 10) = 123 Reorder the terms: 8 + 6x + 35 + 30x + 8(10 + 9x) = 123 8 + 6x + 35 + 30x + (10 * 8 + 9x * 8) = 123 8 + 6x + 35 + 30x + (80 + 72x) = 123 Reorder the terms: 8 + 35 + 80 + 6x + 30x + 72x = 123 Combine like terms: 8 + 35 = 43 43 + 80 + 6x + 30x + 72x = 123 Combine like terms: 43 + 80 = 123 123 + 6x + 30x + 72x = 123 Combine like terms: 6x + 30x = 36x 123 + 36x + 72x = 123 Combine like terms: 36x + 72x = 108x 123 + 108x = 123 Add '-123' to each side of the equation. 123 + -123 + 108x = 123 + -123 Combine like terms: 123 + -123 = 0 0 + 108x = 123 + -123 108x = 123 + -123 Combine like terms: 123 + -123 = 0 108x = 0 Solving 108x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '108'. x = 0 Simplifying x = 0
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