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Simplifying 2[7 + -3(2 + 3x + -4)] + 1 = 0 Reorder the terms: 2[7 + -3(2 + -4 + 3x)] + 1 = 0 Combine like terms: 2 + -4 = -2 2[7 + -3(-2 + 3x)] + 1 = 0 2[7 + (-2 * -3 + 3x * -3)] + 1 = 0 2[7 + (6 + -9x)] + 1 = 0 Combine like terms: 7 + 6 = 13 2[13 + -9x] + 1 = 0 [13 * 2 + -9x * 2] + 1 = 0 [26 + -18x] + 1 = 0 Reorder the terms: 26 + 1 + -18x = 0 Combine like terms: 26 + 1 = 27 27 + -18x = 0 Solving 27 + -18x = 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 + -18x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -18x = 0 + -27 -18x = 0 + -27 Combine like terms: 0 + -27 = -27 -18x = -27 Divide each side by '-18'. x = 1.5 Simplifying x = 1.5
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