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Simplifying 3x(2x + -1) + 4 = (6x + -3)(x + -2) Reorder the terms: 3x(-1 + 2x) + 4 = (6x + -3)(x + -2) (-1 * 3x + 2x * 3x) + 4 = (6x + -3)(x + -2) (-3x + 6x2) + 4 = (6x + -3)(x + -2) Reorder the terms: 4 + -3x + 6x2 = (6x + -3)(x + -2) Reorder the terms: 4 + -3x + 6x2 = (-3 + 6x)(x + -2) Reorder the terms: 4 + -3x + 6x2 = (-3 + 6x)(-2 + x) Multiply (-3 + 6x) * (-2 + x) 4 + -3x + 6x2 = (-3(-2 + x) + 6x * (-2 + x)) 4 + -3x + 6x2 = ((-2 * -3 + x * -3) + 6x * (-2 + x)) 4 + -3x + 6x2 = ((6 + -3x) + 6x * (-2 + x)) 4 + -3x + 6x2 = (6 + -3x + (-2 * 6x + x * 6x)) 4 + -3x + 6x2 = (6 + -3x + (-12x + 6x2)) Combine like terms: -3x + -12x = -15x 4 + -3x + 6x2 = (6 + -15x + 6x2) Add '-6x2' to each side of the equation. 4 + -3x + 6x2 + -6x2 = 6 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4 + -3x + 0 = 6 + -15x + 6x2 + -6x2 4 + -3x = 6 + -15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4 + -3x = 6 + -15x + 0 4 + -3x = 6 + -15x Solving 4 + -3x = 6 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 4 + -3x + 15x = 6 + -15x + 15x Combine like terms: -3x + 15x = 12x 4 + 12x = 6 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 12x = 6 + 0 4 + 12x = 6 Add '-4' to each side of the equation. 4 + -4 + 12x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 6 + -4 12x = 6 + -4 Combine like terms: 6 + -4 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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