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Simplifying 7 + -2[x + -4 + 3(x + -2)] = 0 Reorder the terms: 7 + -2[x + -4 + 3(-2 + x)] = 0 7 + -2[x + -4 + (-2 * 3 + x * 3)] = 0 7 + -2[x + -4 + (-6 + 3x)] = 0 Reorder the terms: 7 + -2[-4 + -6 + x + 3x] = 0 Combine like terms: -4 + -6 = -10 7 + -2[-10 + x + 3x] = 0 Combine like terms: x + 3x = 4x 7 + -2[-10 + 4x] = 0 7 + [-10 * -2 + 4x * -2] = 0 7 + [20 + -8x] = 0 Combine like terms: 7 + 20 = 27 27 + -8x = 0 Solving 27 + -8x = 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 + -8x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = 0 + -27 -8x = 0 + -27 Combine like terms: 0 + -27 = -27 -8x = -27 Divide each side by '-8'. x = 3.375 Simplifying x = 3.375
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