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Simplifying -32 = -2x + 3(2x + -4) Reorder the terms: -32 = -2x + 3(-4 + 2x) -32 = -2x + (-4 * 3 + 2x * 3) -32 = -2x + (-12 + 6x) Reorder the terms: -32 = -12 + -2x + 6x Combine like terms: -2x + 6x = 4x -32 = -12 + 4x Solving -32 = -12 + 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 = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -4x = -12 + 0 -32 + -4x = -12 Add '32' to each side of the equation. -32 + 32 + -4x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -12 + 32 -4x = -12 + 32 Combine like terms: -12 + 32 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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