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Simplifying 3(3x + -1) = 3(4x + 1) Reorder the terms: 3(-1 + 3x) = 3(4x + 1) (-1 * 3 + 3x * 3) = 3(4x + 1) (-3 + 9x) = 3(4x + 1) Reorder the terms: -3 + 9x = 3(1 + 4x) -3 + 9x = (1 * 3 + 4x * 3) -3 + 9x = (3 + 12x) Solving -3 + 9x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 9x + -12x = 3 + 12x + -12x Combine like terms: 9x + -12x = -3x -3 + -3x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -3x = 3 + 0 -3 + -3x = 3 Add '3' to each side of the equation. -3 + 3 + -3x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 3 + 3 -3x = 3 + 3 Combine like terms: 3 + 3 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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