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Simplifying 2x + 6(-2 + 12x) = -1(8x + 12) + -1x 2x + (-2 * 6 + 12x * 6) = -1(8x + 12) + -1x 2x + (-12 + 72x) = -1(8x + 12) + -1x Reorder the terms: -12 + 2x + 72x = -1(8x + 12) + -1x Combine like terms: 2x + 72x = 74x -12 + 74x = -1(8x + 12) + -1x Reorder the terms: -12 + 74x = -1(12 + 8x) + -1x -12 + 74x = (12 * -1 + 8x * -1) + -1x -12 + 74x = (-12 + -8x) + -1x Combine like terms: -8x + -1x = -9x -12 + 74x = -12 + -9x Add '12' to each side of the equation. -12 + 12 + 74x = -12 + 12 + -9x Combine like terms: -12 + 12 = 0 0 + 74x = -12 + 12 + -9x 74x = -12 + 12 + -9x Combine like terms: -12 + 12 = 0 74x = 0 + -9x 74x = -9x Solving 74x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 74x + 9x = -9x + 9x Combine like terms: 74x + 9x = 83x 83x = -9x + 9x Combine like terms: -9x + 9x = 0 83x = 0 Divide each side by '83'. x = 0 Simplifying x = 0
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