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Simplifying -6(x + 3) + -1x + -2 = -7(x + 2) + -6 Reorder the terms: -6(3 + x) + -1x + -2 = -7(x + 2) + -6 (3 * -6 + x * -6) + -1x + -2 = -7(x + 2) + -6 (-18 + -6x) + -1x + -2 = -7(x + 2) + -6 Reorder the terms: -18 + -2 + -6x + -1x = -7(x + 2) + -6 Combine like terms: -18 + -2 = -20 -20 + -6x + -1x = -7(x + 2) + -6 Combine like terms: -6x + -1x = -7x -20 + -7x = -7(x + 2) + -6 Reorder the terms: -20 + -7x = -7(2 + x) + -6 -20 + -7x = (2 * -7 + x * -7) + -6 -20 + -7x = (-14 + -7x) + -6 Reorder the terms: -20 + -7x = -14 + -6 + -7x Combine like terms: -14 + -6 = -20 -20 + -7x = -20 + -7x Add '20' to each side of the equation. -20 + 20 + -7x = -20 + 20 + -7x Combine like terms: -20 + 20 = 0 0 + -7x = -20 + 20 + -7x -7x = -20 + 20 + -7x Combine like terms: -20 + 20 = 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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