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Simplifying 3(5 + -3x) + 3(6x + 2) = 57 (5 * 3 + -3x * 3) + 3(6x + 2) = 57 (15 + -9x) + 3(6x + 2) = 57 Reorder the terms: 15 + -9x + 3(2 + 6x) = 57 15 + -9x + (2 * 3 + 6x * 3) = 57 15 + -9x + (6 + 18x) = 57 Reorder the terms: 15 + 6 + -9x + 18x = 57 Combine like terms: 15 + 6 = 21 21 + -9x + 18x = 57 Combine like terms: -9x + 18x = 9x 21 + 9x = 57 Solving 21 + 9x = 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 + 9x = 57 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 57 + -21 9x = 57 + -21 Combine like terms: 57 + -21 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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