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Simplifying 3(4x + -1) = 9x + 12 Reorder the terms: 3(-1 + 4x) = 9x + 12 (-1 * 3 + 4x * 3) = 9x + 12 (-3 + 12x) = 9x + 12 Reorder the terms: -3 + 12x = 12 + 9x Solving -3 + 12x = 12 + 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 = 12 + 9x + -9x Combine like terms: 12x + -9x = 3x -3 + 3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 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 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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