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Simplifying 3(2 + -9x + -8x) + 8(6x + 3) = 12 Combine like terms: -9x + -8x = -17x 3(2 + -17x) + 8(6x + 3) = 12 (2 * 3 + -17x * 3) + 8(6x + 3) = 12 (6 + -51x) + 8(6x + 3) = 12 Reorder the terms: 6 + -51x + 8(3 + 6x) = 12 6 + -51x + (3 * 8 + 6x * 8) = 12 6 + -51x + (24 + 48x) = 12 Reorder the terms: 6 + 24 + -51x + 48x = 12 Combine like terms: 6 + 24 = 30 30 + -51x + 48x = 12 Combine like terms: -51x + 48x = -3x 30 + -3x = 12 Solving 30 + -3x = 12 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 + -3x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 12 + -30 -3x = 12 + -30 Combine like terms: 12 + -30 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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