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