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Simplifying -52 = -2x + -2(-4x + 8) Reorder the terms: -52 = -2x + -2(8 + -4x) -52 = -2x + (8 * -2 + -4x * -2) -52 = -2x + (-16 + 8x) Reorder the terms: -52 = -16 + -2x + 8x Combine like terms: -2x + 8x = 6x -52 = -16 + 6x Solving -52 = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -52 + -6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + -6x = -16 + 0 -52 + -6x = -16 Add '52' to each side of the equation. -52 + 52 + -6x = -16 + 52 Combine like terms: -52 + 52 = 0 0 + -6x = -16 + 52 -6x = -16 + 52 Combine like terms: -16 + 52 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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