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Simplifying 2(6x + -6) = 8x + -4x + 52 Reorder the terms: 2(-6 + 6x) = 8x + -4x + 52 (-6 * 2 + 6x * 2) = 8x + -4x + 52 (-12 + 12x) = 8x + -4x + 52 Reorder the terms: -12 + 12x = 52 + 8x + -4x Combine like terms: 8x + -4x = 4x -12 + 12x = 52 + 4x Solving -12 + 12x = 52 + 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. -12 + 12x + -4x = 52 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = 52 + 0 -12 + 8x = 52 Add '12' to each side of the equation. -12 + 12 + 8x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 52 + 12 8x = 52 + 12 Combine like terms: 52 + 12 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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