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Simplifying -14x + 2[3 + -2(x + 6)] = 0 Reorder the terms: -14x + 2[3 + -2(6 + x)] = 0 -14x + 2[3 + (6 * -2 + x * -2)] = 0 -14x + 2[3 + (-12 + -2x)] = 0 Combine like terms: 3 + -12 = -9 -14x + 2[-9 + -2x] = 0 -14x + [-9 * 2 + -2x * 2] = 0 -14x + [-18 + -4x] = 0 Reorder the terms: -18 + -14x + -4x = 0 Combine like terms: -14x + -4x = -18x -18 + -18x = 0 Solving -18 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -18x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = 0 + 18 -18x = 0 + 18 Combine like terms: 0 + 18 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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