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Simplifying 3(5x + 2) = 9x + -12 Reorder the terms: 3(2 + 5x) = 9x + -12 (2 * 3 + 5x * 3) = 9x + -12 (6 + 15x) = 9x + -12 Reorder the terms: 6 + 15x = -12 + 9x Solving 6 + 15x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 15x + -9x = -12 + 9x + -9x Combine like terms: 15x + -9x = 6x 6 + 6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 6x = -12 + 0 6 + 6x = -12 Add '-6' to each side of the equation. 6 + -6 + 6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -12 + -6 6x = -12 + -6 Combine like terms: -12 + -6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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