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Simplifying 3(4x + 1) + -9x = 12 + 6x Reorder the terms: 3(1 + 4x) + -9x = 12 + 6x (1 * 3 + 4x * 3) + -9x = 12 + 6x (3 + 12x) + -9x = 12 + 6x Combine like terms: 12x + -9x = 3x 3 + 3x = 12 + 6x Solving 3 + 3x = 12 + 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. 3 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x 3 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -3x = 12 + 0 3 + -3x = 12 Add '-3' to each side of the equation. 3 + -3 + -3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 12 + -3 -3x = 12 + -3 Combine like terms: 12 + -3 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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