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Simplifying 3(4x + 9) + 8 = 6(7x + 2) + 2x Reorder the terms: 3(9 + 4x) + 8 = 6(7x + 2) + 2x (9 * 3 + 4x * 3) + 8 = 6(7x + 2) + 2x (27 + 12x) + 8 = 6(7x + 2) + 2x Reorder the terms: 27 + 8 + 12x = 6(7x + 2) + 2x Combine like terms: 27 + 8 = 35 35 + 12x = 6(7x + 2) + 2x Reorder the terms: 35 + 12x = 6(2 + 7x) + 2x 35 + 12x = (2 * 6 + 7x * 6) + 2x 35 + 12x = (12 + 42x) + 2x Combine like terms: 42x + 2x = 44x 35 + 12x = 12 + 44x Solving 35 + 12x = 12 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 35 + 12x + -44x = 12 + 44x + -44x Combine like terms: 12x + -44x = -32x 35 + -32x = 12 + 44x + -44x Combine like terms: 44x + -44x = 0 35 + -32x = 12 + 0 35 + -32x = 12 Add '-35' to each side of the equation. 35 + -35 + -32x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -32x = 12 + -35 -32x = 12 + -35 Combine like terms: 12 + -35 = -23 -32x = -23 Divide each side by '-32'. x = 0.71875 Simplifying x = 0.71875
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