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Simplifying -3(2x + 20) + 8(x + 12) = 92 Reorder the terms: -3(20 + 2x) + 8(x + 12) = 92 (20 * -3 + 2x * -3) + 8(x + 12) = 92 (-60 + -6x) + 8(x + 12) = 92 Reorder the terms: -60 + -6x + 8(12 + x) = 92 -60 + -6x + (12 * 8 + x * 8) = 92 -60 + -6x + (96 + 8x) = 92 Reorder the terms: -60 + 96 + -6x + 8x = 92 Combine like terms: -60 + 96 = 36 36 + -6x + 8x = 92 Combine like terms: -6x + 8x = 2x 36 + 2x = 92 Solving 36 + 2x = 92 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 + 2x = 92 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 92 + -36 2x = 92 + -36 Combine like terms: 92 + -36 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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