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