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Simplifying 6(x + -7) + 6(x + -5) = 0 Reorder the terms: 6(-7 + x) + 6(x + -5) = 0 (-7 * 6 + x * 6) + 6(x + -5) = 0 (-42 + 6x) + 6(x + -5) = 0 Reorder the terms: -42 + 6x + 6(-5 + x) = 0 -42 + 6x + (-5 * 6 + x * 6) = 0 -42 + 6x + (-30 + 6x) = 0 Reorder the terms: -42 + -30 + 6x + 6x = 0 Combine like terms: -42 + -30 = -72 -72 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -72 + 12x = 0 Solving -72 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 12x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 12x = 0 + 72 12x = 0 + 72 Combine like terms: 0 + 72 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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