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Simplifying 3(4x + 3) = 2 + 8x + 7 + -2x Reorder the terms: 3(3 + 4x) = 2 + 8x + 7 + -2x (3 * 3 + 4x * 3) = 2 + 8x + 7 + -2x (9 + 12x) = 2 + 8x + 7 + -2x Reorder the terms: 9 + 12x = 2 + 7 + 8x + -2x Combine like terms: 2 + 7 = 9 9 + 12x = 9 + 8x + -2x Combine like terms: 8x + -2x = 6x 9 + 12x = 9 + 6x Add '-9' to each side of the equation. 9 + -9 + 12x = 9 + -9 + 6x Combine like terms: 9 + -9 = 0 0 + 12x = 9 + -9 + 6x 12x = 9 + -9 + 6x Combine like terms: 9 + -9 = 0 12x = 0 + 6x 12x = 6x Solving 12x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12x + -6x = 6x + -6x Combine like terms: 12x + -6x = 6x 6x = 6x + -6x Combine like terms: 6x + -6x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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