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Simplifying 2x + -1(1 + -3x) = 8x + -2(3x + -4) 2x + (1 * -1 + -3x * -1) = 8x + -2(3x + -4) 2x + (-1 + 3x) = 8x + -2(3x + -4) Reorder the terms: -1 + 2x + 3x = 8x + -2(3x + -4) Combine like terms: 2x + 3x = 5x -1 + 5x = 8x + -2(3x + -4) Reorder the terms: -1 + 5x = 8x + -2(-4 + 3x) -1 + 5x = 8x + (-4 * -2 + 3x * -2) -1 + 5x = 8x + (8 + -6x) Reorder the terms: -1 + 5x = 8 + 8x + -6x Combine like terms: 8x + -6x = 2x -1 + 5x = 8 + 2x Solving -1 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = 8 + 0 -1 + 3x = 8 Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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