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Simplifying 7(4x + -12) + 8x = 0 Reorder the terms: 7(-12 + 4x) + 8x = 0 (-12 * 7 + 4x * 7) + 8x = 0 (-84 + 28x) + 8x = 0 Combine like terms: 28x + 8x = 36x -84 + 36x = 0 Solving -84 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 36x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 36x = 0 + 84 36x = 0 + 84 Combine like terms: 0 + 84 = 84 36x = 84 Divide each side by '36'. x = 2.333333333 Simplifying x = 2.333333333
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