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Simplifying -6x + 7(2x + 1) + -12 = 0 Reorder the terms: -6x + 7(1 + 2x) + -12 = 0 -6x + (1 * 7 + 2x * 7) + -12 = 0 -6x + (7 + 14x) + -12 = 0 Reorder the terms: 7 + -12 + -6x + 14x = 0 Combine like terms: 7 + -12 = -5 -5 + -6x + 14x = 0 Combine like terms: -6x + 14x = 8x -5 + 8x = 0 Solving -5 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 0 + 5 8x = 0 + 5 Combine like terms: 0 + 5 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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