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Simplifying 8 + -1(2x + -4) + 12 = -52 Reorder the terms: 8 + -1(-4 + 2x) + 12 = -52 8 + (-4 * -1 + 2x * -1) + 12 = -52 8 + (4 + -2x) + 12 = -52 Reorder the terms: 8 + 4 + 12 + -2x = -52 Combine like terms: 8 + 4 = 12 12 + 12 + -2x = -52 Combine like terms: 12 + 12 = 24 24 + -2x = -52 Solving 24 + -2x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2x = -52 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -52 + -24 -2x = -52 + -24 Combine like terms: -52 + -24 = -76 -2x = -76 Divide each side by '-2'. x = 38 Simplifying x = 38
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