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Simplifying -2(8x + 1) + 8x = -3x + -2(1 + -4x) Reorder the terms: -2(1 + 8x) + 8x = -3x + -2(1 + -4x) (1 * -2 + 8x * -2) + 8x = -3x + -2(1 + -4x) (-2 + -16x) + 8x = -3x + -2(1 + -4x) Combine like terms: -16x + 8x = -8x -2 + -8x = -3x + -2(1 + -4x) -2 + -8x = -3x + (1 * -2 + -4x * -2) -2 + -8x = -3x + (-2 + 8x) Reorder the terms: -2 + -8x = -2 + -3x + 8x Combine like terms: -3x + 8x = 5x -2 + -8x = -2 + 5x Add '2' to each side of the equation. -2 + 2 + -8x = -2 + 2 + 5x Combine like terms: -2 + 2 = 0 0 + -8x = -2 + 2 + 5x -8x = -2 + 2 + 5x Combine like terms: -2 + 2 = 0 -8x = 0 + 5x -8x = 5x Solving -8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8x + -5x = 5x + -5x Combine like terms: -8x + -5x = -13x -13x = 5x + -5x Combine like terms: 5x + -5x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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