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Simplifying -7(x + 3) + -1x + -4 = -8(x + 4) + 7 Reorder the terms: -7(3 + x) + -1x + -4 = -8(x + 4) + 7 (3 * -7 + x * -7) + -1x + -4 = -8(x + 4) + 7 (-21 + -7x) + -1x + -4 = -8(x + 4) + 7 Reorder the terms: -21 + -4 + -7x + -1x = -8(x + 4) + 7 Combine like terms: -21 + -4 = -25 -25 + -7x + -1x = -8(x + 4) + 7 Combine like terms: -7x + -1x = -8x -25 + -8x = -8(x + 4) + 7 Reorder the terms: -25 + -8x = -8(4 + x) + 7 -25 + -8x = (4 * -8 + x * -8) + 7 -25 + -8x = (-32 + -8x) + 7 Reorder the terms: -25 + -8x = -32 + 7 + -8x Combine like terms: -32 + 7 = -25 -25 + -8x = -25 + -8x Add '25' to each side of the equation. -25 + 25 + -8x = -25 + 25 + -8x Combine like terms: -25 + 25 = 0 0 + -8x = -25 + 25 + -8x -8x = -25 + 25 + -8x Combine like terms: -25 + 25 = 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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