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Simplifying 5(x + -7) + 6(x + -1) = ax + b Reorder the terms: 5(-7 + x) + 6(x + -1) = ax + b (-7 * 5 + x * 5) + 6(x + -1) = ax + b (-35 + 5x) + 6(x + -1) = ax + b Reorder the terms: -35 + 5x + 6(-1 + x) = ax + b -35 + 5x + (-1 * 6 + x * 6) = ax + b -35 + 5x + (-6 + 6x) = ax + b Reorder the terms: -35 + -6 + 5x + 6x = ax + b Combine like terms: -35 + -6 = -41 -41 + 5x + 6x = ax + b Combine like terms: 5x + 6x = 11x -41 + 11x = ax + b Solving -41 + 11x = 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. -41 + -1ax + 11x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -41 + -1ax + 11x = 0 + b -41 + -1ax + 11x = b Add '41' to each side of the equation. -41 + -1ax + 41 + 11x = 41 + b Reorder the terms: -41 + 41 + -1ax + 11x = 41 + b Combine like terms: -41 + 41 = 0 0 + -1ax + 11x = 41 + b -1ax + 11x = 41 + b Reorder the terms: -41 + -1ax + -1b + 11x = 41 + b + -41 + -1b Reorder the terms: -41 + -1ax + -1b + 11x = 41 + -41 + b + -1b Combine like terms: 41 + -41 = 0 -41 + -1ax + -1b + 11x = 0 + b + -1b -41 + -1ax + -1b + 11x = b + -1b Combine like terms: b + -1b = 0 -41 + -1ax + -1b + 11x = 0 The solution to this equation could not be determined.
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