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Simplifying 3(2 + -3x) = 4(3 + -1x) (2 * 3 + -3x * 3) = 4(3 + -1x) (6 + -9x) = 4(3 + -1x) 6 + -9x = (3 * 4 + -1x * 4) 6 + -9x = (12 + -4x) Solving 6 + -9x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -9x + 4x = 12 + -4x + 4x Combine like terms: -9x + 4x = -5x 6 + -5x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -5x = 12 + 0 6 + -5x = 12 Add '-6' to each side of the equation. 6 + -6 + -5x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 12 + -6 -5x = 12 + -6 Combine like terms: 12 + -6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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