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Simplifying -6x + -1(1 + -5x) = 8(8 + x) + -4x -6x + (1 * -1 + -5x * -1) = 8(8 + x) + -4x -6x + (-1 + 5x) = 8(8 + x) + -4x Reorder the terms: -1 + -6x + 5x = 8(8 + x) + -4x Combine like terms: -6x + 5x = -1x -1 + -1x = 8(8 + x) + -4x -1 + -1x = (8 * 8 + x * 8) + -4x -1 + -1x = (64 + 8x) + -4x Combine like terms: 8x + -4x = 4x -1 + -1x = 64 + 4x Solving -1 + -1x = 64 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -1x + -4x = 64 + 4x + -4x Combine like terms: -1x + -4x = -5x -1 + -5x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -5x = 64 + 0 -1 + -5x = 64 Add '1' to each side of the equation. -1 + 1 + -5x = 64 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 64 + 1 -5x = 64 + 1 Combine like terms: 64 + 1 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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