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Simplifying 4(2x + 1) = -32 + 2x Reorder the terms: 4(1 + 2x) = -32 + 2x (1 * 4 + 2x * 4) = -32 + 2x (4 + 8x) = -32 + 2x Solving 4 + 8x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 8x + -2x = -32 + 2x + -2x Combine like terms: 8x + -2x = 6x 4 + 6x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 6x = -32 + 0 4 + 6x = -32 Add '-4' to each side of the equation. 4 + -4 + 6x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -32 + -4 6x = -32 + -4 Combine like terms: -32 + -4 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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