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Simplifying x(4x + -3) + x(2x + -3) = (6x + 4)(x + -2) Reorder the terms: x(-3 + 4x) + x(2x + -3) = (6x + 4)(x + -2) (-3 * x + 4x * x) + x(2x + -3) = (6x + 4)(x + -2) (-3x + 4x2) + x(2x + -3) = (6x + 4)(x + -2) Reorder the terms: -3x + 4x2 + x(-3 + 2x) = (6x + 4)(x + -2) -3x + 4x2 + (-3 * x + 2x * x) = (6x + 4)(x + -2) -3x + 4x2 + (-3x + 2x2) = (6x + 4)(x + -2) Reorder the terms: -3x + -3x + 4x2 + 2x2 = (6x + 4)(x + -2) Combine like terms: -3x + -3x = -6x -6x + 4x2 + 2x2 = (6x + 4)(x + -2) Combine like terms: 4x2 + 2x2 = 6x2 -6x + 6x2 = (6x + 4)(x + -2) Reorder the terms: -6x + 6x2 = (4 + 6x)(x + -2) Reorder the terms: -6x + 6x2 = (4 + 6x)(-2 + x) Multiply (4 + 6x) * (-2 + x) -6x + 6x2 = (4(-2 + x) + 6x * (-2 + x)) -6x + 6x2 = ((-2 * 4 + x * 4) + 6x * (-2 + x)) -6x + 6x2 = ((-8 + 4x) + 6x * (-2 + x)) -6x + 6x2 = (-8 + 4x + (-2 * 6x + x * 6x)) -6x + 6x2 = (-8 + 4x + (-12x + 6x2)) Combine like terms: 4x + -12x = -8x -6x + 6x2 = (-8 + -8x + 6x2) Add '-6x2' to each side of the equation. -6x + 6x2 + -6x2 = -8 + -8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x + 0 = -8 + -8x + 6x2 + -6x2 -6x = -8 + -8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -6x = -8 + -8x + 0 -6x = -8 + -8x Solving -6x = -8 + -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. -6x + 8x = -8 + -8x + 8x Combine like terms: -6x + 8x = 2x 2x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 2x = -8 + 0 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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