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Simplifying 8(-2x + -4) * 1 + 12 = -52 Reorder the terms: 8(-4 + -2x) * 1 + 12 = -52 Reorder the terms for easier multiplication: 8 * 1(-4 + -2x) + 12 = -52 Multiply 8 * 1 8(-4 + -2x) + 12 = -52 (-4 * 8 + -2x * 8) + 12 = -52 (-32 + -16x) + 12 = -52 Reorder the terms: -32 + 12 + -16x = -52 Combine like terms: -32 + 12 = -20 -20 + -16x = -52 Solving -20 + -16x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -16x = -52 + 20 Combine like terms: -20 + 20 = 0 0 + -16x = -52 + 20 -16x = -52 + 20 Combine like terms: -52 + 20 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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