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Simplifying -5(X + 3) * 2(x + -1) = -14 Reorder the terms: -5(3 + X) * 2(x + -1) = -14 Reorder the terms: -5(3 + X) * 2(-1 + x) = -14 Reorder the terms for easier multiplication: -5 * 2(3 + X)(-1 + x) = -14 Multiply -5 * 2 -10(3 + X)(-1 + x) = -14 Multiply (3 + X) * (-1 + x) -10(3(-1 + x) + X(-1 + x)) = -14 -10((-1 * 3 + x * 3) + X(-1 + x)) = -14 -10((-3 + 3x) + X(-1 + x)) = -14 -10(-3 + 3x + (-1 * X + x * X)) = -14 -10(-3 + 3x + (-1X + xX)) = -14 Reorder the terms: -10(-3 + -1X + 3x + xX) = -14 -10(-3 + -1X + 3x + xX) = -14 (-3 * -10 + -1X * -10 + 3x * -10 + xX * -10) = -14 (30 + 10X + -30x + -10xX) = -14 Solving 30 + 10X + -30x + -10xX = -14 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 10X + -30x + -30 + -10xX = -14 + -30 Reorder the terms: 30 + -30 + 10X + -30x + -10xX = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 10X + -30x + -10xX = -14 + -30 10X + -30x + -10xX = -14 + -30 Combine like terms: -14 + -30 = -44 10X + -30x + -10xX = -44 Add '30x' to each side of the equation. 10X + -30x + 30x + -10xX = -44 + 30x Combine like terms: -30x + 30x = 0 10X + 0 + -10xX = -44 + 30x 10X + -10xX = -44 + 30x Reorder the terms: 44 + 10X + -30x + -10xX = -44 + 30x + 44 + -30x Reorder the terms: 44 + 10X + -30x + -10xX = -44 + 44 + 30x + -30x Combine like terms: -44 + 44 = 0 44 + 10X + -30x + -10xX = 0 + 30x + -30x 44 + 10X + -30x + -10xX = 30x + -30x Combine like terms: 30x + -30x = 0 44 + 10X + -30x + -10xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(22 + 5X + -15x + -5xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(22 + 5X + -15x + -5xX)' equal to zero and attempt to solve: Simplifying 22 + 5X + -15x + -5xX = 0 Solving 22 + 5X + -15x + -5xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 5X + -15x + -22 + -5xX = 0 + -22 Reorder the terms: 22 + -22 + 5X + -15x + -5xX = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5X + -15x + -5xX = 0 + -22 5X + -15x + -5xX = 0 + -22 Combine like terms: 0 + -22 = -22 5X + -15x + -5xX = -22 Add '15x' to each side of the equation. 5X + -15x + 15x + -5xX = -22 + 15x Combine like terms: -15x + 15x = 0 5X + 0 + -5xX = -22 + 15x 5X + -5xX = -22 + 15x 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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