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Simplifying 4(6x + -2) = 32x Reorder the terms: 4(-2 + 6x) = 32x (-2 * 4 + 6x * 4) = 32x (-8 + 24x) = 32x Solving -8 + 24x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -8 + 24x + -32x = 32x + -32x Combine like terms: 24x + -32x = -8x -8 + -8x = 32x + -32x Combine like terms: 32x + -32x = 0 -8 + -8x = 0 Add '8' to each side of the equation. -8 + 8 + -8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 0 + 8 -8x = 0 + 8 Combine like terms: 0 + 8 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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