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Simplifying 4(3x + -1) = 3(2x + -3) Reorder the terms: 4(-1 + 3x) = 3(2x + -3) (-1 * 4 + 3x * 4) = 3(2x + -3) (-4 + 12x) = 3(2x + -3) Reorder the terms: -4 + 12x = 3(-3 + 2x) -4 + 12x = (-3 * 3 + 2x * 3) -4 + 12x = (-9 + 6x) Solving -4 + 12x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 12x + -6x = -9 + 6x + -6x Combine like terms: 12x + -6x = 6x -4 + 6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 6x = -9 + 0 -4 + 6x = -9 Add '4' to each side of the equation. -4 + 4 + 6x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -9 + 4 6x = -9 + 4 Combine like terms: -9 + 4 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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