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Simplifying 3(4x + -3) = 2(2x + 3) Reorder the terms: 3(-3 + 4x) = 2(2x + 3) (-3 * 3 + 4x * 3) = 2(2x + 3) (-9 + 12x) = 2(2x + 3) Reorder the terms: -9 + 12x = 2(3 + 2x) -9 + 12x = (3 * 2 + 2x * 2) -9 + 12x = (6 + 4x) Solving -9 + 12x = 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. -9 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x -9 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 8x = 6 + 0 -9 + 8x = 6 Add '9' to each side of the equation. -9 + 9 + 8x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 6 + 9 8x = 6 + 9 Combine like terms: 6 + 9 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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