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Simplifying 3(x + -7) + -2(x + 5) = ax + b Reorder the terms: 3(-7 + x) + -2(x + 5) = ax + b (-7 * 3 + x * 3) + -2(x + 5) = ax + b (-21 + 3x) + -2(x + 5) = ax + b Reorder the terms: -21 + 3x + -2(5 + x) = ax + b -21 + 3x + (5 * -2 + x * -2) = ax + b -21 + 3x + (-10 + -2x) = ax + b Reorder the terms: -21 + -10 + 3x + -2x = ax + b Combine like terms: -21 + -10 = -31 -31 + 3x + -2x = ax + b Combine like terms: 3x + -2x = 1x -31 + 1x = ax + b Solving -31 + 1x = 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. -31 + -1ax + 1x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -31 + -1ax + 1x = 0 + b -31 + -1ax + 1x = b Add '31' to each side of the equation. -31 + -1ax + 31 + 1x = 31 + b Reorder the terms: -31 + 31 + -1ax + 1x = 31 + b Combine like terms: -31 + 31 = 0 0 + -1ax + 1x = 31 + b -1ax + 1x = 31 + b Reorder the terms: -31 + -1ax + -1b + 1x = 31 + b + -31 + -1b Reorder the terms: -31 + -1ax + -1b + 1x = 31 + -31 + b + -1b Combine like terms: 31 + -31 = 0 -31 + -1ax + -1b + 1x = 0 + b + -1b -31 + -1ax + -1b + 1x = b + -1b Combine like terms: b + -1b = 0 -31 + -1ax + -1b + 1x = 0 The solution to this equation could not be determined.
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