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Simplifying 7 + -9x + -1(x + 12) * alt = 25 Reorder the terms: 7 + -9x + -1(12 + x) * alt = 25 Reorder the terms for easier multiplication: 7 + -9x + -1alt(12 + x) = 25 7 + -9x + (12 * -1alt + x * -1alt) = 25 7 + -9x + (-12alt + -1altx) = 25 Reorder the terms: 7 + -12alt + -1altx + -9x = 25 Solving 7 + -12alt + -1altx + -9x = 25 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -12alt + -1altx + -7 + -9x = 25 + -7 Reorder the terms: 7 + -7 + -12alt + -1altx + -9x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -12alt + -1altx + -9x = 25 + -7 -12alt + -1altx + -9x = 25 + -7 Combine like terms: 25 + -7 = 18 -12alt + -1altx + -9x = 18 Add '9x' to each side of the equation. -12alt + -1altx + -9x + 9x = 18 + 9x Combine like terms: -9x + 9x = 0 -12alt + -1altx + 0 = 18 + 9x -12alt + -1altx = 18 + 9x Reorder the terms: -18 + -12alt + -1altx + -9x = 18 + 9x + -18 + -9x Reorder the terms: -18 + -12alt + -1altx + -9x = 18 + -18 + 9x + -9x Combine like terms: 18 + -18 = 0 -18 + -12alt + -1altx + -9x = 0 + 9x + -9x -18 + -12alt + -1altx + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -12alt + -1altx + -9x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 12alt + altx + 9x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + 12alt + altx + 9x)' equal to zero and attempt to solve: Simplifying 18 + 12alt + altx + 9x = 0 Solving 18 + 12alt + altx + 9x = 0 Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12alt + altx + -18 + 9x = 0 + -18 Reorder the terms: 18 + -18 + 12alt + altx + 9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12alt + altx + 9x = 0 + -18 12alt + altx + 9x = 0 + -18 Combine like terms: 0 + -18 = -18 12alt + altx + 9x = -18 Add '-9x' to each side of the equation. 12alt + altx + 9x + -9x = -18 + -9x Combine like terms: 9x + -9x = 0 12alt + altx + 0 = -18 + -9x 12alt + altx = -18 + -9x 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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