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Simplifying (6x + 5) + -1(3x + -7) = (6x + 5) + (-3x + 7) Reorder the terms: (5 + 6x) + -1(3x + -7) = (6x + 5) + (-3x + 7) Remove parenthesis around (5 + 6x) 5 + 6x + -1(3x + -7) = (6x + 5) + (-3x + 7) Reorder the terms: 5 + 6x + -1(-7 + 3x) = (6x + 5) + (-3x + 7) 5 + 6x + (-7 * -1 + 3x * -1) = (6x + 5) + (-3x + 7) 5 + 6x + (7 + -3x) = (6x + 5) + (-3x + 7) Reorder the terms: 5 + 7 + 6x + -3x = (6x + 5) + (-3x + 7) Combine like terms: 5 + 7 = 12 12 + 6x + -3x = (6x + 5) + (-3x + 7) Combine like terms: 6x + -3x = 3x 12 + 3x = (6x + 5) + (-3x + 7) Reorder the terms: 12 + 3x = (5 + 6x) + (-3x + 7) Remove parenthesis around (5 + 6x) 12 + 3x = 5 + 6x + (-3x + 7) Reorder the terms: 12 + 3x = 5 + 6x + (7 + -3x) Remove parenthesis around (7 + -3x) 12 + 3x = 5 + 6x + 7 + -3x Reorder the terms: 12 + 3x = 5 + 7 + 6x + -3x Combine like terms: 5 + 7 = 12 12 + 3x = 12 + 6x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -12 + 3x 3x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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