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Simplifying -4x + 7 = -1(1 + 8x) + -4(-1x + 1) Reorder the terms: 7 + -4x = -1(1 + 8x) + -4(-1x + 1) 7 + -4x = (1 * -1 + 8x * -1) + -4(-1x + 1) 7 + -4x = (-1 + -8x) + -4(-1x + 1) Reorder the terms: 7 + -4x = -1 + -8x + -4(1 + -1x) 7 + -4x = -1 + -8x + (1 * -4 + -1x * -4) 7 + -4x = -1 + -8x + (-4 + 4x) Reorder the terms: 7 + -4x = -1 + -4 + -8x + 4x Combine like terms: -1 + -4 = -5 7 + -4x = -5 + -8x + 4x Combine like terms: -8x + 4x = -4x 7 + -4x = -5 + -4x Add '4x' to each side of the equation. 7 + -4x + 4x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 0 = -5 + -4x + 4x 7 = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 7 = -5 + 0 7 = -5 Solving 7 = -5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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