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Simplifying 3(x + 2(1 + -5x)) = -21 3(x + (1 * 2 + -5x * 2)) = -21 3(x + (2 + -10x)) = -21 Reorder the terms: 3(2 + x + -10x) = -21 Combine like terms: x + -10x = -9x 3(2 + -9x) = -21 (2 * 3 + -9x * 3) = -21 (6 + -27x) = -21 Solving 6 + -27x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -27x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -27x = -21 + -6 -27x = -21 + -6 Combine like terms: -21 + -6 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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