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Simplifying (x + -4) + -1(7x + 2) = (x + -4) + (-7x + -2) Reorder the terms: (-4 + x) + -1(7x + 2) = (x + -4) + (-7x + -2) Remove parenthesis around (-4 + x) -4 + x + -1(7x + 2) = (x + -4) + (-7x + -2) Reorder the terms: -4 + x + -1(2 + 7x) = (x + -4) + (-7x + -2) -4 + x + (2 * -1 + 7x * -1) = (x + -4) + (-7x + -2) -4 + x + (-2 + -7x) = (x + -4) + (-7x + -2) Reorder the terms: -4 + -2 + x + -7x = (x + -4) + (-7x + -2) Combine like terms: -4 + -2 = -6 -6 + x + -7x = (x + -4) + (-7x + -2) Combine like terms: x + -7x = -6x -6 + -6x = (x + -4) + (-7x + -2) Reorder the terms: -6 + -6x = (-4 + x) + (-7x + -2) Remove parenthesis around (-4 + x) -6 + -6x = -4 + x + (-7x + -2) Reorder the terms: -6 + -6x = -4 + x + (-2 + -7x) Remove parenthesis around (-2 + -7x) -6 + -6x = -4 + x + -2 + -7x Reorder the terms: -6 + -6x = -4 + -2 + x + -7x Combine like terms: -4 + -2 = -6 -6 + -6x = -6 + x + -7x Combine like terms: x + -7x = -6x -6 + -6x = -6 + -6x Add '6' to each side of the equation. -6 + 6 + -6x = -6 + 6 + -6x Combine like terms: -6 + 6 = 0 0 + -6x = -6 + 6 + -6x -6x = -6 + 6 + -6x Combine like terms: -6 + 6 = 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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