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Simplifying 5(6 + -7x) + 5(x + -12) = 0 (6 * 5 + -7x * 5) + 5(x + -12) = 0 (30 + -35x) + 5(x + -12) = 0 Reorder the terms: 30 + -35x + 5(-12 + x) = 0 30 + -35x + (-12 * 5 + x * 5) = 0 30 + -35x + (-60 + 5x) = 0 Reorder the terms: 30 + -60 + -35x + 5x = 0 Combine like terms: 30 + -60 = -30 -30 + -35x + 5x = 0 Combine like terms: -35x + 5x = -30x -30 + -30x = 0 Solving -30 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -30x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -30x = 0 + 30 -30x = 0 + 30 Combine like terms: 0 + 30 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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