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