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Simplifying -6(x + 1) + -1x + -13 = -7(x + 4) + 9 Reorder the terms: -6(1 + x) + -1x + -13 = -7(x + 4) + 9 (1 * -6 + x * -6) + -1x + -13 = -7(x + 4) + 9 (-6 + -6x) + -1x + -13 = -7(x + 4) + 9 Reorder the terms: -6 + -13 + -6x + -1x = -7(x + 4) + 9 Combine like terms: -6 + -13 = -19 -19 + -6x + -1x = -7(x + 4) + 9 Combine like terms: -6x + -1x = -7x -19 + -7x = -7(x + 4) + 9 Reorder the terms: -19 + -7x = -7(4 + x) + 9 -19 + -7x = (4 * -7 + x * -7) + 9 -19 + -7x = (-28 + -7x) + 9 Reorder the terms: -19 + -7x = -28 + 9 + -7x Combine like terms: -28 + 9 = -19 -19 + -7x = -19 + -7x Add '19' to each side of the equation. -19 + 19 + -7x = -19 + 19 + -7x Combine like terms: -19 + 19 = 0 0 + -7x = -19 + 19 + -7x -7x = -19 + 19 + -7x Combine like terms: -19 + 19 = 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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