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Simplifying 3(3x + -2) = 2(4x + 3) Reorder the terms: 3(-2 + 3x) = 2(4x + 3) (-2 * 3 + 3x * 3) = 2(4x + 3) (-6 + 9x) = 2(4x + 3) Reorder the terms: -6 + 9x = 2(3 + 4x) -6 + 9x = (3 * 2 + 4x * 2) -6 + 9x = (6 + 8x) Solving -6 + 9x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 9x + -8x = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x -6 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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