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Simplifying x + -1(1 + -3x) = 8x + -1 x + (1 * -1 + -3x * -1) = 8x + -1 x + (-1 + 3x) = 8x + -1 Reorder the terms: -1 + x + 3x = 8x + -1 Combine like terms: x + 3x = 4x -1 + 4x = 8x + -1 Reorder the terms: -1 + 4x = -1 + 8x Add '1' to each side of the equation. -1 + 1 + 4x = -1 + 1 + 8x Combine like terms: -1 + 1 = 0 0 + 4x = -1 + 1 + 8x 4x = -1 + 1 + 8x Combine like terms: -1 + 1 = 0 4x = 0 + 8x 4x = 8x Solving 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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