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Simplifying -2(5x + 7) = ax + b Reorder the terms: -2(7 + 5x) = ax + b (7 * -2 + 5x * -2) = ax + b (-14 + -10x) = ax + b Solving -14 + -10x = ax + b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -14 + -1ax + -10x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -14 + -1ax + -10x = 0 + b -14 + -1ax + -10x = b Add '14' to each side of the equation. -14 + -1ax + 14 + -10x = 14 + b Reorder the terms: -14 + 14 + -1ax + -10x = 14 + b Combine like terms: -14 + 14 = 0 0 + -1ax + -10x = 14 + b -1ax + -10x = 14 + b Reorder the terms: -14 + -1ax + -1b + -10x = 14 + b + -14 + -1b Reorder the terms: -14 + -1ax + -1b + -10x = 14 + -14 + b + -1b Combine like terms: 14 + -14 = 0 -14 + -1ax + -1b + -10x = 0 + b + -1b -14 + -1ax + -1b + -10x = b + -1b Combine like terms: b + -1b = 0 -14 + -1ax + -1b + -10x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + ax + b + 10x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + ax + b + 10x)' equal to zero and attempt to solve: Simplifying 14 + ax + b + 10x = 0 Solving 14 + ax + b + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + ax + b + -14 + 10x = 0 + -14 Reorder the terms: 14 + -14 + ax + b + 10x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + ax + b + 10x = 0 + -14 ax + b + 10x = 0 + -14 Combine like terms: 0 + -14 = -14 ax + b + 10x = -14 Add '-1b' to each side of the equation. ax + b + -1b + 10x = -14 + -1b Combine like terms: b + -1b = 0 ax + 0 + 10x = -14 + -1b ax + 10x = -14 + -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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