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Simplifying -32 = 4x + -4(2x + -2) Reorder the terms: -32 = 4x + -4(-2 + 2x) -32 = 4x + (-2 * -4 + 2x * -4) -32 = 4x + (8 + -8x) Reorder the terms: -32 = 8 + 4x + -8x Combine like terms: 4x + -8x = -4x -32 = 8 + -4x Solving -32 = 8 + -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. -32 + 4x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 4x = 8 + 0 -32 + 4x = 8 Add '32' to each side of the equation. -32 + 32 + 4x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 8 + 32 4x = 8 + 32 Combine like terms: 8 + 32 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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