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Simplifying 6(2x + 1) = 3(3x + 1) Reorder the terms: 6(1 + 2x) = 3(3x + 1) (1 * 6 + 2x * 6) = 3(3x + 1) (6 + 12x) = 3(3x + 1) Reorder the terms: 6 + 12x = 3(1 + 3x) 6 + 12x = (1 * 3 + 3x * 3) 6 + 12x = (3 + 9x) Solving 6 + 12x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 12x + -9x = 3 + 9x + -9x Combine like terms: 12x + -9x = 3x 6 + 3x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 3x = 3 + 0 6 + 3x = 3 Add '-6' to each side of the equation. 6 + -6 + 3x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 3 + -6 3x = 3 + -6 Combine like terms: 3 + -6 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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