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Simplifying 7x + 3[9 + -1(2x + -6)] = 0 Reorder the terms: 7x + 3[9 + -1(-6 + 2x)] = 0 7x + 3[9 + (-6 * -1 + 2x * -1)] = 0 7x + 3[9 + (6 + -2x)] = 0 Combine like terms: 9 + 6 = 15 7x + 3[15 + -2x] = 0 7x + [15 * 3 + -2x * 3] = 0 7x + [45 + -6x] = 0 Reorder the terms: 45 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x 45 + 1x = 0 Solving 45 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 0 + -45 1x = 0 + -45 Combine like terms: 0 + -45 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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