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Simplifying (x + -9) + -1(7x + 6) = (x + -9) + (-7x + -6) Reorder the terms: (-9 + x) + -1(7x + 6) = (x + -9) + (-7x + -6) Remove parenthesis around (-9 + x) -9 + x + -1(7x + 6) = (x + -9) + (-7x + -6) Reorder the terms: -9 + x + -1(6 + 7x) = (x + -9) + (-7x + -6) -9 + x + (6 * -1 + 7x * -1) = (x + -9) + (-7x + -6) -9 + x + (-6 + -7x) = (x + -9) + (-7x + -6) Reorder the terms: -9 + -6 + x + -7x = (x + -9) + (-7x + -6) Combine like terms: -9 + -6 = -15 -15 + x + -7x = (x + -9) + (-7x + -6) Combine like terms: x + -7x = -6x -15 + -6x = (x + -9) + (-7x + -6) Reorder the terms: -15 + -6x = (-9 + x) + (-7x + -6) Remove parenthesis around (-9 + x) -15 + -6x = -9 + x + (-7x + -6) Reorder the terms: -15 + -6x = -9 + x + (-6 + -7x) Remove parenthesis around (-6 + -7x) -15 + -6x = -9 + x + -6 + -7x Reorder the terms: -15 + -6x = -9 + -6 + x + -7x Combine like terms: -9 + -6 = -15 -15 + -6x = -15 + x + -7x Combine like terms: x + -7x = -6x -15 + -6x = -15 + -6x Add '15' to each side of the equation. -15 + 15 + -6x = -15 + 15 + -6x Combine like terms: -15 + 15 = 0 0 + -6x = -15 + 15 + -6x -6x = -15 + 15 + -6x Combine like terms: -15 + 15 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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