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Simplifying 2(6x + 6) + 4(10 + -1x) = 0 Reorder the terms: 2(6 + 6x) + 4(10 + -1x) = 0 (6 * 2 + 6x * 2) + 4(10 + -1x) = 0 (12 + 12x) + 4(10 + -1x) = 0 12 + 12x + (10 * 4 + -1x * 4) = 0 12 + 12x + (40 + -4x) = 0 Reorder the terms: 12 + 40 + 12x + -4x = 0 Combine like terms: 12 + 40 = 52 52 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x 52 + 8x = 0 Solving 52 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 8x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 0 + -52 8x = 0 + -52 Combine like terms: 0 + -52 = -52 8x = -52 Divide each side by '8'. x = -6.5 Simplifying x = -6.5
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