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Simplifying -2(3x + -6) + 4(5x + -8) = 92 Reorder the terms: -2(-6 + 3x) + 4(5x + -8) = 92 (-6 * -2 + 3x * -2) + 4(5x + -8) = 92 (12 + -6x) + 4(5x + -8) = 92 Reorder the terms: 12 + -6x + 4(-8 + 5x) = 92 12 + -6x + (-8 * 4 + 5x * 4) = 92 12 + -6x + (-32 + 20x) = 92 Reorder the terms: 12 + -32 + -6x + 20x = 92 Combine like terms: 12 + -32 = -20 -20 + -6x + 20x = 92 Combine like terms: -6x + 20x = 14x -20 + 14x = 92 Solving -20 + 14x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 14x = 92 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = 92 + 20 14x = 92 + 20 Combine like terms: 92 + 20 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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