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Simplifying -32 + 2x = 2(4x + -1) Reorder the terms: -32 + 2x = 2(-1 + 4x) -32 + 2x = (-1 * 2 + 4x * 2) -32 + 2x = (-2 + 8x) Solving -32 + 2x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + 2x + -8x = -2 + 8x + -8x Combine like terms: 2x + -8x = -6x -32 + -6x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -6x = -2 + 0 -32 + -6x = -2 Add '32' to each side of the equation. -32 + 32 + -6x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = -2 + 32 -6x = -2 + 32 Combine like terms: -2 + 32 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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