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Simplifying -4(1 + -8x) + 3 = 32 + -1x (1 * -4 + -8x * -4) + 3 = 32 + -1x (-4 + 32x) + 3 = 32 + -1x Reorder the terms: -4 + 3 + 32x = 32 + -1x Combine like terms: -4 + 3 = -1 -1 + 32x = 32 + -1x Solving -1 + 32x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 32x + x = 32 + -1x + x Combine like terms: 32x + x = 33x -1 + 33x = 32 + -1x + x Combine like terms: -1x + x = 0 -1 + 33x = 32 + 0 -1 + 33x = 32 Add '1' to each side of the equation. -1 + 1 + 33x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 33x = 32 + 1 33x = 32 + 1 Combine like terms: 32 + 1 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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