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Simplifying (X + -6)(x + 7) = 3(x + 7) Reorder the terms: (-6 + X)(x + 7) = 3(x + 7) Reorder the terms: (-6 + X)(7 + x) = 3(x + 7) Multiply (-6 + X) * (7 + x) (-6(7 + x) + X(7 + x)) = 3(x + 7) ((7 * -6 + x * -6) + X(7 + x)) = 3(x + 7) ((-42 + -6x) + X(7 + x)) = 3(x + 7) (-42 + -6x + (7 * X + x * X)) = 3(x + 7) (-42 + -6x + (7X + xX)) = 3(x + 7) Reorder the terms: (-42 + 7X + -6x + xX) = 3(x + 7) (-42 + 7X + -6x + xX) = 3(x + 7) Reorder the terms: -42 + 7X + -6x + xX = 3(7 + x) -42 + 7X + -6x + xX = (7 * 3 + x * 3) -42 + 7X + -6x + xX = (21 + 3x) Solving -42 + 7X + -6x + xX = 21 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 7X + -6x + 42 + xX = 21 + 42 + 3x Reorder the terms: -42 + 42 + 7X + -6x + xX = 21 + 42 + 3x Combine like terms: -42 + 42 = 0 0 + 7X + -6x + xX = 21 + 42 + 3x 7X + -6x + xX = 21 + 42 + 3x Combine like terms: 21 + 42 = 63 7X + -6x + xX = 63 + 3x Add '6x' to each side of the equation. 7X + -6x + 6x + xX = 63 + 3x + 6x Combine like terms: -6x + 6x = 0 7X + 0 + xX = 63 + 3x + 6x 7X + xX = 63 + 3x + 6x Combine like terms: 3x + 6x = 9x 7X + xX = 63 + 9x Reorder the terms: -63 + 7X + -9x + xX = 63 + 9x + -63 + -9x Reorder the terms: -63 + 7X + -9x + xX = 63 + -63 + 9x + -9x Combine like terms: 63 + -63 = 0 -63 + 7X + -9x + xX = 0 + 9x + -9x -63 + 7X + -9x + xX = 9x + -9x Combine like terms: 9x + -9x = 0 -63 + 7X + -9x + xX = 0 The solution to this equation could not be determined.
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