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Simplifying 2(6 + -6x) + 7(x + -7) = Ax + B (6 * 2 + -6x * 2) + 7(x + -7) = Ax + B (12 + -12x) + 7(x + -7) = Ax + B Reorder the terms: 12 + -12x + 7(-7 + x) = Ax + B 12 + -12x + (-7 * 7 + x * 7) = Ax + B 12 + -12x + (-49 + 7x) = Ax + B Reorder the terms: 12 + -49 + -12x + 7x = Ax + B Combine like terms: 12 + -49 = -37 -37 + -12x + 7x = Ax + B Combine like terms: -12x + 7x = -5x -37 + -5x = Ax + B Reorder the terms: -37 + -5x = B + xA Solving -37 + -5x = B + xA Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xA' to each side of the equation. -37 + -5x + -1xA = B + xA + -1xA Combine like terms: xA + -1xA = 0 -37 + -5x + -1xA = B + 0 -37 + -5x + -1xA = B Add '37' to each side of the equation. -37 + -5x + 37 + -1xA = 37 + B Reorder the terms: -37 + 37 + -5x + -1xA = 37 + B Combine like terms: -37 + 37 = 0 0 + -5x + -1xA = 37 + B -5x + -1xA = 37 + B Reorder the terms: -37 + -1B + -5x + -1xA = 37 + B + -37 + -1B Reorder the terms: -37 + -1B + -5x + -1xA = 37 + -37 + B + -1B Combine like terms: 37 + -37 = 0 -37 + -1B + -5x + -1xA = 0 + B + -1B -37 + -1B + -5x + -1xA = B + -1B Combine like terms: B + -1B = 0 -37 + -1B + -5x + -1xA = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(37 + B + 5x + xA) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(37 + B + 5x + xA)' equal to zero and attempt to solve: Simplifying 37 + B + 5x + xA = 0 Solving 37 + B + 5x + xA = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + B + 5x + -37 + xA = 0 + -37 Reorder the terms: 37 + -37 + B + 5x + xA = 0 + -37 Combine like terms: 37 + -37 = 0 0 + B + 5x + xA = 0 + -37 B + 5x + xA = 0 + -37 Combine like terms: 0 + -37 = -37 B + 5x + xA = -37 Add '-1B' to each side of the equation. B + 5x + -1B + xA = -37 + -1B Reorder the terms: B + -1B + 5x + xA = -37 + -1B Combine like terms: B + -1B = 0 0 + 5x + xA = -37 + -1B 5x + xA = -37 + -1B 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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