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Simplifying -8x + 3(-8x + 1) = -7x + 3(1 + 4x) Reorder the terms: -8x + 3(1 + -8x) = -7x + 3(1 + 4x) -8x + (1 * 3 + -8x * 3) = -7x + 3(1 + 4x) -8x + (3 + -24x) = -7x + 3(1 + 4x) Reorder the terms: 3 + -8x + -24x = -7x + 3(1 + 4x) Combine like terms: -8x + -24x = -32x 3 + -32x = -7x + 3(1 + 4x) 3 + -32x = -7x + (1 * 3 + 4x * 3) 3 + -32x = -7x + (3 + 12x) Reorder the terms: 3 + -32x = 3 + -7x + 12x Combine like terms: -7x + 12x = 5x 3 + -32x = 3 + 5x Add '-3' to each side of the equation. 3 + -3 + -32x = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 0 + -32x = 3 + -3 + 5x -32x = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 -32x = 0 + 5x -32x = 5x Solving -32x = 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. -32x + -5x = 5x + -5x Combine like terms: -32x + -5x = -37x -37x = 5x + -5x Combine like terms: 5x + -5x = 0 -37x = 0 Divide each side by '-37'. x = 0 Simplifying x = 0
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