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Simplifying -6(x + 1) + -1x + -7 = -7(x + 5) + 22 Reorder the terms: -6(1 + x) + -1x + -7 = -7(x + 5) + 22 (1 * -6 + x * -6) + -1x + -7 = -7(x + 5) + 22 (-6 + -6x) + -1x + -7 = -7(x + 5) + 22 Reorder the terms: -6 + -7 + -6x + -1x = -7(x + 5) + 22 Combine like terms: -6 + -7 = -13 -13 + -6x + -1x = -7(x + 5) + 22 Combine like terms: -6x + -1x = -7x -13 + -7x = -7(x + 5) + 22 Reorder the terms: -13 + -7x = -7(5 + x) + 22 -13 + -7x = (5 * -7 + x * -7) + 22 -13 + -7x = (-35 + -7x) + 22 Reorder the terms: -13 + -7x = -35 + 22 + -7x Combine like terms: -35 + 22 = -13 -13 + -7x = -13 + -7x Add '13' to each side of the equation. -13 + 13 + -7x = -13 + 13 + -7x Combine like terms: -13 + 13 = 0 0 + -7x = -13 + 13 + -7x -7x = -13 + 13 + -7x Combine like terms: -13 + 13 = 0 -7x = 0 + -7x -7x = -7x Add '7x' to each side of the equation. -7x + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 0 = -7x + 7x Combine like terms: -7x + 7x = 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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