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Simplifying -3(-2x + 20) + 8(x + 12) = -84 Reorder the terms: -3(20 + -2x) + 8(x + 12) = -84 (20 * -3 + -2x * -3) + 8(x + 12) = -84 (-60 + 6x) + 8(x + 12) = -84 Reorder the terms: -60 + 6x + 8(12 + x) = -84 -60 + 6x + (12 * 8 + x * 8) = -84 -60 + 6x + (96 + 8x) = -84 Reorder the terms: -60 + 96 + 6x + 8x = -84 Combine like terms: -60 + 96 = 36 36 + 6x + 8x = -84 Combine like terms: 6x + 8x = 14x 36 + 14x = -84 Solving 36 + 14x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 14x = -84 + -36 Combine like terms: 36 + -36 = 0 0 + 14x = -84 + -36 14x = -84 + -36 Combine like terms: -84 + -36 = -120 14x = -120 Divide each side by '14'. x = -8.571428571 Simplifying x = -8.571428571
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