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Simplifying 2(6x + -6) + 6(5x + -5) = 0 Reorder the terms: 2(-6 + 6x) + 6(5x + -5) = 0 (-6 * 2 + 6x * 2) + 6(5x + -5) = 0 (-12 + 12x) + 6(5x + -5) = 0 Reorder the terms: -12 + 12x + 6(-5 + 5x) = 0 -12 + 12x + (-5 * 6 + 5x * 6) = 0 -12 + 12x + (-30 + 30x) = 0 Reorder the terms: -12 + -30 + 12x + 30x = 0 Combine like terms: -12 + -30 = -42 -42 + 12x + 30x = 0 Combine like terms: 12x + 30x = 42x -42 + 42x = 0 Solving -42 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 42x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 42x = 0 + 42 42x = 0 + 42 Combine like terms: 0 + 42 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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