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Simplifying 9(2x + -4) + -2(7x + -12) = 0 Reorder the terms: 9(-4 + 2x) + -2(7x + -12) = 0 (-4 * 9 + 2x * 9) + -2(7x + -12) = 0 (-36 + 18x) + -2(7x + -12) = 0 Reorder the terms: -36 + 18x + -2(-12 + 7x) = 0 -36 + 18x + (-12 * -2 + 7x * -2) = 0 -36 + 18x + (24 + -14x) = 0 Reorder the terms: -36 + 24 + 18x + -14x = 0 Combine like terms: -36 + 24 = -12 -12 + 18x + -14x = 0 Combine like terms: 18x + -14x = 4x -12 + 4x = 0 Solving -12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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