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Simplifying -32 + -2x = -2(2x + 1) + -8x Reorder the terms: -32 + -2x = -2(1 + 2x) + -8x -32 + -2x = (1 * -2 + 2x * -2) + -8x -32 + -2x = (-2 + -4x) + -8x Combine like terms: -4x + -8x = -12x -32 + -2x = -2 + -12x Solving -32 + -2x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -32 + -2x + 12x = -2 + -12x + 12x Combine like terms: -2x + 12x = 10x -32 + 10x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 -32 + 10x = -2 + 0 -32 + 10x = -2 Add '32' to each side of the equation. -32 + 32 + 10x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -2 + 32 10x = -2 + 32 Combine like terms: -2 + 32 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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