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Simplifying -7(x + 1) + -1x + -8 = -8(x + 4) + 17 Reorder the terms: -7(1 + x) + -1x + -8 = -8(x + 4) + 17 (1 * -7 + x * -7) + -1x + -8 = -8(x + 4) + 17 (-7 + -7x) + -1x + -8 = -8(x + 4) + 17 Reorder the terms: -7 + -8 + -7x + -1x = -8(x + 4) + 17 Combine like terms: -7 + -8 = -15 -15 + -7x + -1x = -8(x + 4) + 17 Combine like terms: -7x + -1x = -8x -15 + -8x = -8(x + 4) + 17 Reorder the terms: -15 + -8x = -8(4 + x) + 17 -15 + -8x = (4 * -8 + x * -8) + 17 -15 + -8x = (-32 + -8x) + 17 Reorder the terms: -15 + -8x = -32 + 17 + -8x Combine like terms: -32 + 17 = -15 -15 + -8x = -15 + -8x Add '15' to each side of the equation. -15 + 15 + -8x = -15 + 15 + -8x Combine like terms: -15 + 15 = 0 0 + -8x = -15 + 15 + -8x -8x = -15 + 15 + -8x Combine like terms: -15 + 15 = 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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