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Simplifying 7 + -2[x + -4 + 3(3x + -2)] = 0 Reorder the terms: 7 + -2[x + -4 + 3(-2 + 3x)] = 0 7 + -2[x + -4 + (-2 * 3 + 3x * 3)] = 0 7 + -2[x + -4 + (-6 + 9x)] = 0 Reorder the terms: 7 + -2[-4 + -6 + x + 9x] = 0 Combine like terms: -4 + -6 = -10 7 + -2[-10 + x + 9x] = 0 Combine like terms: x + 9x = 10x 7 + -2[-10 + 10x] = 0 7 + [-10 * -2 + 10x * -2] = 0 7 + [20 + -20x] = 0 Combine like terms: 7 + 20 = 27 27 + -20x = 0 Solving 27 + -20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -20x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -20x = 0 + -27 -20x = 0 + -27 Combine like terms: 0 + -27 = -27 -20x = -27 Divide each side by '-20'. x = 1.35 Simplifying x = 1.35
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