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Simplifying (8x + -4)(6x + 4) = (4x + 3)(12x + -1) Reorder the terms: (-4 + 8x)(6x + 4) = (4x + 3)(12x + -1) Reorder the terms: (-4 + 8x)(4 + 6x) = (4x + 3)(12x + -1) Multiply (-4 + 8x) * (4 + 6x) (-4(4 + 6x) + 8x * (4 + 6x)) = (4x + 3)(12x + -1) ((4 * -4 + 6x * -4) + 8x * (4 + 6x)) = (4x + 3)(12x + -1) ((-16 + -24x) + 8x * (4 + 6x)) = (4x + 3)(12x + -1) (-16 + -24x + (4 * 8x + 6x * 8x)) = (4x + 3)(12x + -1) (-16 + -24x + (32x + 48x2)) = (4x + 3)(12x + -1) Combine like terms: -24x + 32x = 8x (-16 + 8x + 48x2) = (4x + 3)(12x + -1) Reorder the terms: -16 + 8x + 48x2 = (3 + 4x)(12x + -1) Reorder the terms: -16 + 8x + 48x2 = (3 + 4x)(-1 + 12x) Multiply (3 + 4x) * (-1 + 12x) -16 + 8x + 48x2 = (3(-1 + 12x) + 4x * (-1 + 12x)) -16 + 8x + 48x2 = ((-1 * 3 + 12x * 3) + 4x * (-1 + 12x)) -16 + 8x + 48x2 = ((-3 + 36x) + 4x * (-1 + 12x)) -16 + 8x + 48x2 = (-3 + 36x + (-1 * 4x + 12x * 4x)) -16 + 8x + 48x2 = (-3 + 36x + (-4x + 48x2)) Combine like terms: 36x + -4x = 32x -16 + 8x + 48x2 = (-3 + 32x + 48x2) Add '-48x2' to each side of the equation. -16 + 8x + 48x2 + -48x2 = -3 + 32x + 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 -16 + 8x + 0 = -3 + 32x + 48x2 + -48x2 -16 + 8x = -3 + 32x + 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 -16 + 8x = -3 + 32x + 0 -16 + 8x = -3 + 32x Solving -16 + 8x = -3 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -16 + 8x + -32x = -3 + 32x + -32x Combine like terms: 8x + -32x = -24x -16 + -24x = -3 + 32x + -32x Combine like terms: 32x + -32x = 0 -16 + -24x = -3 + 0 -16 + -24x = -3 Add '16' to each side of the equation. -16 + 16 + -24x = -3 + 16 Combine like terms: -16 + 16 = 0 0 + -24x = -3 + 16 -24x = -3 + 16 Combine like terms: -3 + 16 = 13 -24x = 13 Divide each side by '-24'. x = -0.5416666667 Simplifying x = -0.5416666667
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