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Simplifying -2x + 4(-8x + 1) = 4 + 7x Reorder the terms: -2x + 4(1 + -8x) = 4 + 7x -2x + (1 * 4 + -8x * 4) = 4 + 7x -2x + (4 + -32x) = 4 + 7x Reorder the terms: 4 + -2x + -32x = 4 + 7x Combine like terms: -2x + -32x = -34x 4 + -34x = 4 + 7x Add '-4' to each side of the equation. 4 + -4 + -34x = 4 + -4 + 7x Combine like terms: 4 + -4 = 0 0 + -34x = 4 + -4 + 7x -34x = 4 + -4 + 7x Combine like terms: 4 + -4 = 0 -34x = 0 + 7x -34x = 7x Solving -34x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -34x + -7x = 7x + -7x Combine like terms: -34x + -7x = -41x -41x = 7x + -7x Combine like terms: 7x + -7x = 0 -41x = 0 Divide each side by '-41'. x = 0 Simplifying x = 0
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