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Simplifying -3(1 + -4x) + -6(3 + 5x) = -57 (1 * -3 + -4x * -3) + -6(3 + 5x) = -57 (-3 + 12x) + -6(3 + 5x) = -57 -3 + 12x + (3 * -6 + 5x * -6) = -57 -3 + 12x + (-18 + -30x) = -57 Reorder the terms: -3 + -18 + 12x + -30x = -57 Combine like terms: -3 + -18 = -21 -21 + 12x + -30x = -57 Combine like terms: 12x + -30x = -18x -21 + -18x = -57 Solving -21 + -18x = -57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -18x = -57 + 21 Combine like terms: -21 + 21 = 0 0 + -18x = -57 + 21 -18x = -57 + 21 Combine like terms: -57 + 21 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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