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Simplifying 3(4 + -3x) = 2(2x + 3) (4 * 3 + -3x * 3) = 2(2x + 3) (12 + -9x) = 2(2x + 3) Reorder the terms: 12 + -9x = 2(3 + 2x) 12 + -9x = (3 * 2 + 2x * 2) 12 + -9x = (6 + 4x) Solving 12 + -9x = 6 + 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. 12 + -9x + -4x = 6 + 4x + -4x Combine like terms: -9x + -4x = -13x 12 + -13x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -13x = 6 + 0 12 + -13x = 6 Add '-12' to each side of the equation. 12 + -12 + -13x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 6 + -12 -13x = 6 + -12 Combine like terms: 6 + -12 = -6 -13x = -6 Divide each side by '-13'. x = 0.4615384615 Simplifying x = 0.4615384615
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