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Simplifying 4(3x + -2) = 3(3x + 4) Reorder the terms: 4(-2 + 3x) = 3(3x + 4) (-2 * 4 + 3x * 4) = 3(3x + 4) (-8 + 12x) = 3(3x + 4) Reorder the terms: -8 + 12x = 3(4 + 3x) -8 + 12x = (4 * 3 + 3x * 3) -8 + 12x = (12 + 9x) Solving -8 + 12x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 12x + -9x = 12 + 9x + -9x Combine like terms: 12x + -9x = 3x -8 + 3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 3x = 12 + 0 -8 + 3x = 12 Add '8' to each side of the equation. -8 + 8 + 3x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 12 + 8 3x = 12 + 8 Combine like terms: 12 + 8 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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