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Simplifying x + -4(x + 8) = 8x + -32 Reorder the terms: x + -4(8 + x) = 8x + -32 x + (8 * -4 + x * -4) = 8x + -32 x + (-32 + -4x) = 8x + -32 Reorder the terms: -32 + x + -4x = 8x + -32 Combine like terms: x + -4x = -3x -32 + -3x = 8x + -32 Reorder the terms: -32 + -3x = -32 + 8x Add '32' to each side of the equation. -32 + 32 + -3x = -32 + 32 + 8x Combine like terms: -32 + 32 = 0 0 + -3x = -32 + 32 + 8x -3x = -32 + 32 + 8x Combine like terms: -32 + 32 = 0 -3x = 0 + 8x -3x = 8x Solving -3x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3x + -8x = 8x + -8x Combine like terms: -3x + -8x = -11x -11x = 8x + -8x Combine like terms: 8x + -8x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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