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Simplifying 6x + 2(x + -6) = 52 Reorder the terms: 6x + 2(-6 + x) = 52 6x + (-6 * 2 + x * 2) = 52 6x + (-12 + 2x) = 52 Reorder the terms: -12 + 6x + 2x = 52 Combine like terms: 6x + 2x = 8x -12 + 8x = 52 Solving -12 + 8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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