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Simplifying -7(6 + 12x) + 7(-2x + 6) = 11x + -8x (6 * -7 + 12x * -7) + 7(-2x + 6) = 11x + -8x (-42 + -84x) + 7(-2x + 6) = 11x + -8x Reorder the terms: -42 + -84x + 7(6 + -2x) = 11x + -8x -42 + -84x + (6 * 7 + -2x * 7) = 11x + -8x -42 + -84x + (42 + -14x) = 11x + -8x Reorder the terms: -42 + 42 + -84x + -14x = 11x + -8x Combine like terms: -42 + 42 = 0 0 + -84x + -14x = 11x + -8x -84x + -14x = 11x + -8x Combine like terms: -84x + -14x = -98x -98x = 11x + -8x Combine like terms: 11x + -8x = 3x -98x = 3x Solving -98x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -98x + -3x = 3x + -3x Combine like terms: -98x + -3x = -101x -101x = 3x + -3x Combine like terms: 3x + -3x = 0 -101x = 0 Divide each side by '-101'. x = 0 Simplifying x = 0
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