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Simplifying 5x + 14 + -1(3x + -7) = 5x + -3x + 14 + 7 Reorder the terms: 5x + 14 + -1(-7 + 3x) = 5x + -3x + 14 + 7 5x + 14 + (-7 * -1 + 3x * -1) = 5x + -3x + 14 + 7 5x + 14 + (7 + -3x) = 5x + -3x + 14 + 7 Reorder the terms: 14 + 7 + 5x + -3x = 5x + -3x + 14 + 7 Combine like terms: 14 + 7 = 21 21 + 5x + -3x = 5x + -3x + 14 + 7 Combine like terms: 5x + -3x = 2x 21 + 2x = 5x + -3x + 14 + 7 Reorder the terms: 21 + 2x = 14 + 7 + 5x + -3x Combine like terms: 14 + 7 = 21 21 + 2x = 21 + 5x + -3x Combine like terms: 5x + -3x = 2x 21 + 2x = 21 + 2x Add '-21' to each side of the equation. 21 + -21 + 2x = 21 + -21 + 2x Combine like terms: 21 + -21 = 0 0 + 2x = 21 + -21 + 2x 2x = 21 + -21 + 2x Combine like terms: 21 + -21 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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