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Simplifying -6(x + 2) + 7x + -12 = 0 Reorder the terms: -6(2 + x) + 7x + -12 = 0 (2 * -6 + x * -6) + 7x + -12 = 0 (-12 + -6x) + 7x + -12 = 0 Reorder the terms: -12 + -12 + -6x + 7x = 0 Combine like terms: -12 + -12 = -24 -24 + -6x + 7x = 0 Combine like terms: -6x + 7x = 1x -24 + 1x = 0 Solving -24 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 0 + 24 1x = 0 + 24 Combine like terms: 0 + 24 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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