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Simplifying 3(4x + 1) + -2 = 9x + 1 Reorder the terms: 3(1 + 4x) + -2 = 9x + 1 (1 * 3 + 4x * 3) + -2 = 9x + 1 (3 + 12x) + -2 = 9x + 1 Reorder the terms: 3 + -2 + 12x = 9x + 1 Combine like terms: 3 + -2 = 1 1 + 12x = 9x + 1 Reorder the terms: 1 + 12x = 1 + 9x Add '-1' to each side of the equation. 1 + -1 + 12x = 1 + -1 + 9x Combine like terms: 1 + -1 = 0 0 + 12x = 1 + -1 + 9x 12x = 1 + -1 + 9x Combine like terms: 1 + -1 = 0 12x = 0 + 9x 12x = 9x Solving 12x = 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. 12x + -9x = 9x + -9x Combine like terms: 12x + -9x = 3x 3x = 9x + -9x Combine like terms: 9x + -9x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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