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Simplifying 6(x + -2) + -2(x + -5) + -2(x + 6) = 0 Reorder the terms: 6(-2 + x) + -2(x + -5) + -2(x + 6) = 0 (-2 * 6 + x * 6) + -2(x + -5) + -2(x + 6) = 0 (-12 + 6x) + -2(x + -5) + -2(x + 6) = 0 Reorder the terms: -12 + 6x + -2(-5 + x) + -2(x + 6) = 0 -12 + 6x + (-5 * -2 + x * -2) + -2(x + 6) = 0 -12 + 6x + (10 + -2x) + -2(x + 6) = 0 Reorder the terms: -12 + 6x + 10 + -2x + -2(6 + x) = 0 -12 + 6x + 10 + -2x + (6 * -2 + x * -2) = 0 -12 + 6x + 10 + -2x + (-12 + -2x) = 0 Reorder the terms: -12 + 10 + -12 + 6x + -2x + -2x = 0 Combine like terms: -12 + 10 = -2 -2 + -12 + 6x + -2x + -2x = 0 Combine like terms: -2 + -12 = -14 -14 + 6x + -2x + -2x = 0 Combine like terms: 6x + -2x = 4x -14 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -14 + 2x = 0 Solving -14 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 0 + 14 2x = 0 + 14 Combine like terms: 0 + 14 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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