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Simplifying -6(x + 2) + -1x + -6 = -7(x + 4) + 10 Reorder the terms: -6(2 + x) + -1x + -6 = -7(x + 4) + 10 (2 * -6 + x * -6) + -1x + -6 = -7(x + 4) + 10 (-12 + -6x) + -1x + -6 = -7(x + 4) + 10 Reorder the terms: -12 + -6 + -6x + -1x = -7(x + 4) + 10 Combine like terms: -12 + -6 = -18 -18 + -6x + -1x = -7(x + 4) + 10 Combine like terms: -6x + -1x = -7x -18 + -7x = -7(x + 4) + 10 Reorder the terms: -18 + -7x = -7(4 + x) + 10 -18 + -7x = (4 * -7 + x * -7) + 10 -18 + -7x = (-28 + -7x) + 10 Reorder the terms: -18 + -7x = -28 + 10 + -7x Combine like terms: -28 + 10 = -18 -18 + -7x = -18 + -7x Add '18' to each side of the equation. -18 + 18 + -7x = -18 + 18 + -7x Combine like terms: -18 + 18 = 0 0 + -7x = -18 + 18 + -7x -7x = -18 + 18 + -7x Combine like terms: -18 + 18 = 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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