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Simplifying 4(2 + -6x) = -4x + -32 (2 * 4 + -6x * 4) = -4x + -32 (8 + -24x) = -4x + -32 Reorder the terms: 8 + -24x = -32 + -4x Solving 8 + -24x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -24x + 4x = -32 + -4x + 4x Combine like terms: -24x + 4x = -20x 8 + -20x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -20x = -32 + 0 8 + -20x = -32 Add '-8' to each side of the equation. 8 + -8 + -20x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -20x = -32 + -8 -20x = -32 + -8 Combine like terms: -32 + -8 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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