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Simplifying 6(x + -1) = 7(x + -1) + -1(x + -1) Reorder the terms: 6(-1 + x) = 7(x + -1) + -1(x + -1) (-1 * 6 + x * 6) = 7(x + -1) + -1(x + -1) (-6 + 6x) = 7(x + -1) + -1(x + -1) Reorder the terms: -6 + 6x = 7(-1 + x) + -1(x + -1) -6 + 6x = (-1 * 7 + x * 7) + -1(x + -1) -6 + 6x = (-7 + 7x) + -1(x + -1) Reorder the terms: -6 + 6x = -7 + 7x + -1(-1 + x) -6 + 6x = -7 + 7x + (-1 * -1 + x * -1) -6 + 6x = -7 + 7x + (1 + -1x) Reorder the terms: -6 + 6x = -7 + 1 + 7x + -1x Combine like terms: -7 + 1 = -6 -6 + 6x = -6 + 7x + -1x Combine like terms: 7x + -1x = 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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