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Simplifying -7(x + 5) + -1x + -6 = -8(x + 4) + -9 Reorder the terms: -7(5 + x) + -1x + -6 = -8(x + 4) + -9 (5 * -7 + x * -7) + -1x + -6 = -8(x + 4) + -9 (-35 + -7x) + -1x + -6 = -8(x + 4) + -9 Reorder the terms: -35 + -6 + -7x + -1x = -8(x + 4) + -9 Combine like terms: -35 + -6 = -41 -41 + -7x + -1x = -8(x + 4) + -9 Combine like terms: -7x + -1x = -8x -41 + -8x = -8(x + 4) + -9 Reorder the terms: -41 + -8x = -8(4 + x) + -9 -41 + -8x = (4 * -8 + x * -8) + -9 -41 + -8x = (-32 + -8x) + -9 Reorder the terms: -41 + -8x = -32 + -9 + -8x Combine like terms: -32 + -9 = -41 -41 + -8x = -41 + -8x Add '41' to each side of the equation. -41 + 41 + -8x = -41 + 41 + -8x Combine like terms: -41 + 41 = 0 0 + -8x = -41 + 41 + -8x -8x = -41 + 41 + -8x Combine like terms: -41 + 41 = 0 -8x = 0 + -8x -8x = -8x Add '8x' to each side of the equation. -8x + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 0 = -8x + 8x Combine like terms: -8x + 8x = 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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