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Simplifying (X + -7)(2x + 2) = -4(x + -7) Reorder the terms: (-7 + X)(2x + 2) = -4(x + -7) Reorder the terms: (-7 + X)(2 + 2x) = -4(x + -7) Multiply (-7 + X) * (2 + 2x) (-7(2 + 2x) + X(2 + 2x)) = -4(x + -7) ((2 * -7 + 2x * -7) + X(2 + 2x)) = -4(x + -7) ((-14 + -14x) + X(2 + 2x)) = -4(x + -7) (-14 + -14x + (2 * X + 2x * X)) = -4(x + -7) (-14 + -14x + (2X + 2xX)) = -4(x + -7) Reorder the terms: (-14 + 2X + -14x + 2xX) = -4(x + -7) (-14 + 2X + -14x + 2xX) = -4(x + -7) Reorder the terms: -14 + 2X + -14x + 2xX = -4(-7 + x) -14 + 2X + -14x + 2xX = (-7 * -4 + x * -4) -14 + 2X + -14x + 2xX = (28 + -4x) Solving -14 + 2X + -14x + 2xX = 28 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 2X + -14x + 14 + 2xX = 28 + 14 + -4x Reorder the terms: -14 + 14 + 2X + -14x + 2xX = 28 + 14 + -4x Combine like terms: -14 + 14 = 0 0 + 2X + -14x + 2xX = 28 + 14 + -4x 2X + -14x + 2xX = 28 + 14 + -4x Combine like terms: 28 + 14 = 42 2X + -14x + 2xX = 42 + -4x Add '14x' to each side of the equation. 2X + -14x + 14x + 2xX = 42 + -4x + 14x Combine like terms: -14x + 14x = 0 2X + 0 + 2xX = 42 + -4x + 14x 2X + 2xX = 42 + -4x + 14x Combine like terms: -4x + 14x = 10x 2X + 2xX = 42 + 10x Reorder the terms: -42 + 2X + -10x + 2xX = 42 + 10x + -42 + -10x Reorder the terms: -42 + 2X + -10x + 2xX = 42 + -42 + 10x + -10x Combine like terms: 42 + -42 = 0 -42 + 2X + -10x + 2xX = 0 + 10x + -10x -42 + 2X + -10x + 2xX = 10x + -10x Combine like terms: 10x + -10x = 0 -42 + 2X + -10x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + X + -5x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + X + -5x + xX)' equal to zero and attempt to solve: Simplifying -21 + X + -5x + xX = 0 Solving -21 + X + -5x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + X + -5x + 21 + xX = 0 + 21 Reorder the terms: -21 + 21 + X + -5x + xX = 0 + 21 Combine like terms: -21 + 21 = 0 0 + X + -5x + xX = 0 + 21 X + -5x + xX = 0 + 21 Combine like terms: 0 + 21 = 21 X + -5x + xX = 21 Add '5x' to each side of the equation. X + -5x + 5x + xX = 21 + 5x Combine like terms: -5x + 5x = 0 X + 0 + xX = 21 + 5x X + xX = 21 + 5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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