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