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Simplifying 2(3 + -5x) + 2(x + -7) = ax + b (3 * 2 + -5x * 2) + 2(x + -7) = ax + b (6 + -10x) + 2(x + -7) = ax + b Reorder the terms: 6 + -10x + 2(-7 + x) = ax + b 6 + -10x + (-7 * 2 + x * 2) = ax + b 6 + -10x + (-14 + 2x) = ax + b Reorder the terms: 6 + -14 + -10x + 2x = ax + b Combine like terms: 6 + -14 = -8 -8 + -10x + 2x = ax + b Combine like terms: -10x + 2x = -8x -8 + -8x = ax + b Solving -8 + -8x = 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. -8 + -1ax + -8x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -8 + -1ax + -8x = 0 + b -8 + -1ax + -8x = b Add '8' to each side of the equation. -8 + -1ax + 8 + -8x = 8 + b Reorder the terms: -8 + 8 + -1ax + -8x = 8 + b Combine like terms: -8 + 8 = 0 0 + -1ax + -8x = 8 + b -1ax + -8x = 8 + b Reorder the terms: -8 + -1ax + -1b + -8x = 8 + b + -8 + -1b Reorder the terms: -8 + -1ax + -1b + -8x = 8 + -8 + b + -1b Combine like terms: 8 + -8 = 0 -8 + -1ax + -1b + -8x = 0 + b + -1b -8 + -1ax + -1b + -8x = b + -1b Combine like terms: b + -1b = 0 -8 + -1ax + -1b + -8x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + ax + b + 8x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + ax + b + 8x)' equal to zero and attempt to solve: Simplifying 8 + ax + b + 8x = 0 Solving 8 + ax + b + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + ax + b + -8 + 8x = 0 + -8 Reorder the terms: 8 + -8 + ax + b + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + ax + b + 8x = 0 + -8 ax + b + 8x = 0 + -8 Combine like terms: 0 + -8 = -8 ax + b + 8x = -8 Add '-1b' to each side of the equation. ax + b + -1b + 8x = -8 + -1b Combine like terms: b + -1b = 0 ax + 0 + 8x = -8 + -1b ax + 8x = -8 + -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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