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Simplifying -8x + -4(-3x + -8) = 52 Reorder the terms: -8x + -4(-8 + -3x) = 52 -8x + (-8 * -4 + -3x * -4) = 52 -8x + (32 + 12x) = 52 Reorder the terms: 32 + -8x + 12x = 52 Combine like terms: -8x + 12x = 4x 32 + 4x = 52 Solving 32 + 4x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 4x = 52 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 52 + -32 4x = 52 + -32 Combine like terms: 52 + -32 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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