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Simplifying 10x + -2(x + 6) = 52 Reorder the terms: 10x + -2(6 + x) = 52 10x + (6 * -2 + x * -2) = 52 10x + (-12 + -2x) = 52 Reorder the terms: -12 + 10x + -2x = 52 Combine like terms: 10x + -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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