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Simplifying 6 + 4[7 + -1(x + -2)] = 0 Reorder the terms: 6 + 4[7 + -1(-2 + x)] = 0 6 + 4[7 + (-2 * -1 + x * -1)] = 0 6 + 4[7 + (2 + -1x)] = 0 Combine like terms: 7 + 2 = 9 6 + 4[9 + -1x] = 0 6 + [9 * 4 + -1x * 4] = 0 6 + [36 + -4x] = 0 Combine like terms: 6 + 36 = 42 42 + -4x = 0 Solving 42 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -4x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 0 + -42 -4x = 0 + -42 Combine like terms: 0 + -42 = -42 -4x = -42 Divide each side by '-4'. x = 10.5 Simplifying x = 10.5
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