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Simplifying 3[x + -2(5 + -1x)] = 6 3[x + (5 * -2 + -1x * -2)] = 6 3[x + (-10 + 2x)] = 6 Reorder the terms: 3[-10 + x + 2x] = 6 Combine like terms: x + 2x = 3x 3[-10 + 3x] = 6 [-10 * 3 + 3x * 3] = 6 [-30 + 9x] = 6 Solving -30 + 9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 9x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 6 + 30 9x = 6 + 30 Combine like terms: 6 + 30 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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