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Simplifying 4x = x + -8(x + 1) + 8(-4x + 1) Reorder the terms: 4x = x + -8(1 + x) + 8(-4x + 1) 4x = x + (1 * -8 + x * -8) + 8(-4x + 1) 4x = x + (-8 + -8x) + 8(-4x + 1) Reorder the terms: 4x = x + -8 + -8x + 8(1 + -4x) 4x = x + -8 + -8x + (1 * 8 + -4x * 8) 4x = x + -8 + -8x + (8 + -32x) Reorder the terms: 4x = -8 + 8 + x + -8x + -32x Combine like terms: -8 + 8 = 0 4x = 0 + x + -8x + -32x 4x = x + -8x + -32x Combine like terms: x + -8x = -7x 4x = -7x + -32x Combine like terms: -7x + -32x = -39x 4x = -39x Solving 4x = -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. 4x + 39x = -39x + 39x Combine like terms: 4x + 39x = 43x 43x = -39x + 39x Combine like terms: -39x + 39x = 0 43x = 0 Divide each side by '43'. x = 0 Simplifying x = 0
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