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Simplifying 5x + 3(2x + -7) = ax + b Reorder the terms: 5x + 3(-7 + 2x) = ax + b 5x + (-7 * 3 + 2x * 3) = ax + b 5x + (-21 + 6x) = ax + b Reorder the terms: -21 + 5x + 6x = ax + b Combine like terms: 5x + 6x = 11x -21 + 11x = ax + b Solving -21 + 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. -21 + -1ax + 11x = ax + -1ax + b Combine like terms: ax + -1ax = 0 -21 + -1ax + 11x = 0 + b -21 + -1ax + 11x = b Add '21' to each side of the equation. -21 + -1ax + 21 + 11x = 21 + b Reorder the terms: -21 + 21 + -1ax + 11x = 21 + b Combine like terms: -21 + 21 = 0 0 + -1ax + 11x = 21 + b -1ax + 11x = 21 + b Reorder the terms: -21 + -1ax + -1b + 11x = 21 + b + -21 + -1b Reorder the terms: -21 + -1ax + -1b + 11x = 21 + -21 + b + -1b Combine like terms: 21 + -21 = 0 -21 + -1ax + -1b + 11x = 0 + b + -1b -21 + -1ax + -1b + 11x = b + -1b Combine like terms: b + -1b = 0 -21 + -1ax + -1b + 11x = 0 The solution to this equation could not be determined.
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