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Simplifying -3(-2x + 20) + 8(x + 2) = 92 Reorder the terms: -3(20 + -2x) + 8(x + 2) = 92 (20 * -3 + -2x * -3) + 8(x + 2) = 92 (-60 + 6x) + 8(x + 2) = 92 Reorder the terms: -60 + 6x + 8(2 + x) = 92 -60 + 6x + (2 * 8 + x * 8) = 92 -60 + 6x + (16 + 8x) = 92 Reorder the terms: -60 + 16 + 6x + 8x = 92 Combine like terms: -60 + 16 = -44 -44 + 6x + 8x = 92 Combine like terms: 6x + 8x = 14x -44 + 14x = 92 Solving -44 + 14x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 14x = 92 + 44 Combine like terms: -44 + 44 = 0 0 + 14x = 92 + 44 14x = 92 + 44 Combine like terms: 92 + 44 = 136 14x = 136 Divide each side by '14'. x = 9.714285714 Simplifying x = 9.714285714
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