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Simplifying 2(8 + -3x) + 5 = 3(9x + 7) (8 * 2 + -3x * 2) + 5 = 3(9x + 7) (16 + -6x) + 5 = 3(9x + 7) Reorder the terms: 16 + 5 + -6x = 3(9x + 7) Combine like terms: 16 + 5 = 21 21 + -6x = 3(9x + 7) Reorder the terms: 21 + -6x = 3(7 + 9x) 21 + -6x = (7 * 3 + 9x * 3) 21 + -6x = (21 + 27x) Add '-21' to each side of the equation. 21 + -21 + -6x = 21 + -21 + 27x Combine like terms: 21 + -21 = 0 0 + -6x = 21 + -21 + 27x -6x = 21 + -21 + 27x Combine like terms: 21 + -21 = 0 -6x = 0 + 27x -6x = 27x Solving -6x = 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. -6x + -27x = 27x + -27x Combine like terms: -6x + -27x = -33x -33x = 27x + -27x Combine like terms: 27x + -27x = 0 -33x = 0 Divide each side by '-33'. x = 0 Simplifying x = 0
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